Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,3,Mod(5,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.96185790339\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 29.12 | ||
Character | \(\chi\) | \(=\) | 72.29 |
Dual form | 72.3.j.a.5.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.390748 | + | 1.96146i | −0.195374 | + | 0.980729i | ||||
\(3\) | −0.102534 | − | 2.99825i | −0.0341779 | − | 0.999416i | ||||
\(4\) | −3.69463 | − | 1.53287i | −0.923658 | − | 0.383218i | ||||
\(5\) | −3.47699 | − | 6.02232i | −0.695397 | − | 1.20446i | −0.970047 | − | 0.242919i | \(-0.921895\pi\) |
0.274649 | − | 0.961544i | \(-0.411438\pi\) | |||||||
\(6\) | 5.92100 | + | 0.970445i | 0.986833 | + | 0.161741i | ||||
\(7\) | 2.29534 | − | 3.97565i | 0.327906 | − | 0.567951i | −0.654190 | − | 0.756330i | \(-0.726990\pi\) |
0.982096 | + | 0.188380i | \(0.0603236\pi\) | |||||||
\(8\) | 4.45034 | − | 6.64790i | 0.556292 | − | 0.830987i | ||||
\(9\) | −8.97897 | + | 0.614843i | −0.997664 | + | 0.0683159i | ||||
\(10\) | 13.1711 | − | 4.46675i | 1.31711 | − | 0.446675i | ||||
\(11\) | −7.77003 | + | 13.4581i | −0.706367 | + | 1.22346i | 0.259829 | + | 0.965655i | \(0.416334\pi\) |
−0.966196 | + | 0.257809i | \(0.917000\pi\) | |||||||
\(12\) | −4.21711 | + | 11.2346i | −0.351426 | + | 0.936216i | ||||
\(13\) | 19.3855 | − | 11.1922i | 1.49120 | − | 0.860942i | 0.491246 | − | 0.871021i | \(-0.336542\pi\) |
0.999949 | + | 0.0100786i | \(0.00320818\pi\) | |||||||
\(14\) | 6.90117 | + | 6.05570i | 0.492941 | + | 0.432550i | ||||
\(15\) | −17.6999 | + | 11.0424i | −1.17999 | + | 0.736157i | ||||
\(16\) | 11.3006 | + | 11.3268i | 0.706288 | + | 0.707925i | ||||
\(17\) | − | 9.17185i | − | 0.539520i | −0.962928 | − | 0.269760i | \(-0.913056\pi\) | ||
0.962928 | − | 0.269760i | \(-0.0869444\pi\) | |||||||
\(18\) | 2.30253 | − | 17.8521i | 0.127918 | − | 0.991785i | ||||
\(19\) | − | 4.53461i | − | 0.238664i | −0.992854 | − | 0.119332i | \(-0.961925\pi\) | ||
0.992854 | − | 0.119332i | \(-0.0380752\pi\) | |||||||
\(20\) | 3.61474 | + | 27.5800i | 0.180737 | + | 1.37900i | ||||
\(21\) | −12.1553 | − | 6.47437i | −0.578826 | − | 0.308303i | ||||
\(22\) | −23.3614 | − | 20.4993i | −1.06188 | − | 0.931787i | ||||
\(23\) | −2.69533 | + | 1.55615i | −0.117188 | + | 0.0676587i | −0.557448 | − | 0.830212i | \(-0.688220\pi\) |
0.440260 | + | 0.897870i | \(0.354886\pi\) | |||||||
\(24\) | −20.3883 | − | 12.6616i | −0.849514 | − | 0.527566i | ||||
\(25\) | −11.6789 | + | 20.2284i | −0.467155 | + | 0.809136i | ||||
\(26\) | 14.3782 | + | 42.3973i | 0.553010 | + | 1.63066i | ||||
\(27\) | 2.76410 | + | 26.8581i | 0.102374 | + | 0.994746i | ||||
\(28\) | −14.5746 | + | 11.1701i | −0.520522 | + | 0.398932i | ||||
\(29\) | 6.42846 | − | 11.1344i | 0.221671 | − | 0.383946i | −0.733644 | − | 0.679534i | \(-0.762182\pi\) |
0.955316 | + | 0.295588i | \(0.0955155\pi\) | |||||||
\(30\) | −14.7429 | − | 39.0324i | −0.491430 | − | 1.30108i | ||||
\(31\) | −2.17666 | − | 3.77008i | −0.0702147 | − | 0.121615i | 0.828781 | − | 0.559574i | \(-0.189035\pi\) |
−0.898995 | + | 0.437958i | \(0.855702\pi\) | |||||||
\(32\) | −26.6327 | + | 17.7397i | −0.832273 | + | 0.554366i | ||||
\(33\) | 41.1474 | + | 21.9166i | 1.24689 | + | 0.664139i | ||||
\(34\) | 17.9902 | + | 3.58388i | 0.529123 | + | 0.105408i | ||||
\(35\) | −31.9235 | −0.912101 | ||||||||
\(36\) | 34.1165 | + | 11.4920i | 0.947680 | + | 0.319222i | ||||
\(37\) | − | 23.0374i | − | 0.622633i | −0.950306 | − | 0.311316i | \(-0.899230\pi\) | ||
0.950306 | − | 0.311316i | \(-0.100770\pi\) | |||||||
\(38\) | 8.89444 | + | 1.77189i | 0.234064 | + | 0.0466287i | ||||
\(39\) | −35.5448 | − | 56.9751i | −0.911405 | − | 1.46090i | ||||
\(40\) | −55.5095 | − | 3.68669i | −1.38774 | − | 0.0921673i | ||||
\(41\) | 60.6979 | − | 35.0439i | 1.48044 | − | 0.854730i | 0.480682 | − | 0.876895i | \(-0.340389\pi\) |
0.999754 | + | 0.0221647i | \(0.00705581\pi\) | |||||||
\(42\) | 17.4489 | − | 21.3123i | 0.415450 | − | 0.507437i | ||||
\(43\) | 51.7345 | + | 29.8689i | 1.20313 | + | 0.694626i | 0.961249 | − | 0.275681i | \(-0.0889034\pi\) |
0.241878 | + | 0.970307i | \(0.422237\pi\) | |||||||
\(44\) | 49.3370 | − | 37.8122i | 1.12129 | − | 0.859369i | ||||
\(45\) | 34.9226 | + | 51.9364i | 0.776057 | + | 1.15414i | ||||
\(46\) | −1.99913 | − | 5.89484i | −0.0434593 | − | 0.128149i | ||||
\(47\) | 32.1187 | + | 18.5438i | 0.683377 | + | 0.394548i | 0.801126 | − | 0.598495i | \(-0.204235\pi\) |
−0.117749 | + | 0.993043i | \(0.537568\pi\) | |||||||
\(48\) | 32.8019 | − | 35.0434i | 0.683372 | − | 0.730070i | ||||
\(49\) | 13.9628 | + | 24.1843i | 0.284955 | + | 0.493556i | ||||
\(50\) | −35.1136 | − | 30.8118i | −0.702273 | − | 0.616236i | ||||
\(51\) | −27.4995 | + | 0.940424i | −0.539205 | + | 0.0184397i | ||||
\(52\) | −88.7787 | + | 11.6357i | −1.70728 | + | 0.223763i | ||||
\(53\) | −24.3319 | −0.459092 | −0.229546 | − | 0.973298i | \(-0.573724\pi\) | ||||
−0.229546 | + | 0.973298i | \(0.573724\pi\) | |||||||
\(54\) | −53.7612 | − | 5.07311i | −0.995577 | − | 0.0939465i | ||||
\(55\) | 108.065 | 1.96482 | ||||||||
\(56\) | −16.2147 | − | 32.9522i | −0.289548 | − | 0.588432i | ||||
\(57\) | −13.5959 | + | 0.464951i | −0.238524 | + | 0.00815703i | ||||
\(58\) | 19.3278 | + | 16.9599i | 0.333238 | + | 0.292412i | ||||
\(59\) | −20.7560 | − | 35.9504i | −0.351796 | − | 0.609329i | 0.634768 | − | 0.772703i | \(-0.281096\pi\) |
−0.986564 | + | 0.163374i | \(0.947762\pi\) | |||||||
\(60\) | 82.3211 | − | 13.6658i | 1.37202 | − | 0.227763i | ||||
\(61\) | −34.6245 | − | 19.9904i | −0.567614 | − | 0.327712i | 0.188582 | − | 0.982057i | \(-0.439611\pi\) |
−0.756196 | + | 0.654345i | \(0.772944\pi\) | |||||||
\(62\) | 8.24537 | − | 2.79626i | 0.132990 | − | 0.0451010i | ||||
\(63\) | −18.1654 | + | 37.1086i | −0.288340 | + | 0.589025i | ||||
\(64\) | −24.3890 | − | 59.1707i | −0.381078 | − | 0.924543i | ||||
\(65\) | −134.807 | − | 77.8306i | −2.07395 | − | 1.19739i | ||||
\(66\) | −59.0667 | + | 72.1450i | −0.894950 | + | 1.09311i | ||||
\(67\) | −24.3421 | + | 14.0539i | −0.363315 | + | 0.209760i | −0.670534 | − | 0.741879i | \(-0.733935\pi\) |
0.307219 | + | 0.951639i | \(0.400602\pi\) | |||||||
\(68\) | −14.0593 | + | 33.8866i | −0.206754 | + | 0.498332i | ||||
\(69\) | 4.94209 | + | 7.92171i | 0.0716244 | + | 0.114807i | ||||
\(70\) | 12.4741 | − | 62.6167i | 0.178201 | − | 0.894524i | ||||
\(71\) | 59.8148i | 0.842462i | 0.906953 | + | 0.421231i | \(0.138402\pi\) | ||||
−0.906953 | + | 0.421231i | \(0.861598\pi\) | |||||||
\(72\) | −35.8720 | + | 62.4275i | −0.498223 | + | 0.867049i | ||||
\(73\) | −53.8883 | −0.738196 | −0.369098 | − | 0.929390i | \(-0.620333\pi\) | ||||
−0.369098 | + | 0.929390i | \(0.620333\pi\) | |||||||
\(74\) | 45.1869 | + | 9.00183i | 0.610634 | + | 0.121646i | ||||
\(75\) | 61.8472 | + | 32.9420i | 0.824629 | + | 0.439227i | ||||
\(76\) | −6.95098 | + | 16.7537i | −0.0914603 | + | 0.220444i | ||||
\(77\) | 35.6698 | + | 61.7819i | 0.463244 | + | 0.802363i | ||||
\(78\) | 125.643 | − | 47.4567i | 1.61081 | − | 0.608419i | ||||
\(79\) | −0.557280 | + | 0.965237i | −0.00705418 | + | 0.0122182i | −0.869531 | − | 0.493878i | \(-0.835579\pi\) |
0.862477 | + | 0.506097i | \(0.168912\pi\) | |||||||
\(80\) | 28.9215 | − | 107.439i | 0.361519 | − | 1.34299i | ||||
\(81\) | 80.2439 | − | 11.0413i | 0.990666 | − | 0.136313i | ||||
\(82\) | 45.0196 | + | 132.750i | 0.549020 | + | 1.61890i | ||||
\(83\) | 39.8750 | − | 69.0655i | 0.480422 | − | 0.832114i | −0.519326 | − | 0.854576i | \(-0.673817\pi\) |
0.999748 | + | 0.0224616i | \(0.00715035\pi\) | |||||||
\(84\) | 34.9851 | + | 42.5530i | 0.416490 | + | 0.506584i | ||||
\(85\) | −55.2358 | + | 31.8904i | −0.649833 | + | 0.375181i | ||||
\(86\) | −78.8017 | + | 89.8037i | −0.916299 | + | 1.04423i | ||||
\(87\) | −34.0429 | − | 18.1325i | −0.391298 | − | 0.208419i | ||||
\(88\) | 54.8887 | + | 111.547i | 0.623736 | + | 1.26758i | ||||
\(89\) | − | 10.6605i | − | 0.119781i | −0.998205 | − | 0.0598905i | \(-0.980925\pi\) | ||
0.998205 | − | 0.0598905i | \(-0.0190751\pi\) | |||||||
\(90\) | −115.517 | + | 48.2050i | −1.28352 | + | 0.535611i | ||||
\(91\) | − | 102.760i | − | 1.12923i | ||||||
\(92\) | 12.3436 | − | 1.61780i | 0.134170 | − | 0.0175848i | ||||
\(93\) | −11.0804 | + | 6.91271i | −0.119145 | + | 0.0743302i | ||||
\(94\) | −48.9231 | + | 55.7536i | −0.520459 | + | 0.593123i | ||||
\(95\) | −27.3089 | + | 15.7668i | −0.287462 | + | 0.165966i | ||||
\(96\) | 55.9188 | + | 78.0326i | 0.582488 | + | 0.812839i | ||||
\(97\) | −72.6276 | + | 125.795i | −0.748738 | + | 1.29685i | 0.199690 | + | 0.979859i | \(0.436006\pi\) |
−0.948428 | + | 0.316993i | \(0.897327\pi\) | |||||||
\(98\) | −52.8923 | + | 17.9375i | −0.539718 | + | 0.183035i | ||||
\(99\) | 61.4923 | − | 125.617i | 0.621135 | − | 1.26886i | ||||
\(100\) | 74.1567 | − | 56.8342i | 0.741567 | − | 0.568342i | ||||
\(101\) | 47.7840 | − | 82.7643i | 0.473109 | − | 0.819449i | −0.526417 | − | 0.850226i | \(-0.676465\pi\) |
0.999526 | + | 0.0307777i | \(0.00979838\pi\) | |||||||
\(102\) | 8.90077 | − | 54.3065i | 0.0872625 | − | 0.532417i | ||||
\(103\) | −51.3053 | − | 88.8633i | −0.498109 | − | 0.862751i | 0.501888 | − | 0.864933i | \(-0.332639\pi\) |
−0.999998 | + | 0.00218165i | \(0.999306\pi\) | |||||||
\(104\) | 11.8673 | − | 178.682i | 0.114108 | − | 1.71810i | ||||
\(105\) | 3.27324 | + | 95.7146i | 0.0311737 | + | 0.911568i | ||||
\(106\) | 9.50765 | − | 47.7260i | 0.0896948 | − | 0.450245i | ||||
\(107\) | −23.2763 | −0.217536 | −0.108768 | − | 0.994067i | \(-0.534690\pi\) | ||||
−0.108768 | + | 0.994067i | \(0.534690\pi\) | |||||||
\(108\) | 30.9578 | − | 103.468i | 0.286646 | − | 0.958037i | ||||
\(109\) | 83.5260i | 0.766294i | 0.923687 | + | 0.383147i | \(0.125160\pi\) | ||||
−0.923687 | + | 0.383147i | \(0.874840\pi\) | |||||||
\(110\) | −42.2263 | + | 211.965i | −0.383876 | + | 1.92696i | ||||
\(111\) | −69.0718 | + | 2.36211i | −0.622269 | + | 0.0212803i | ||||
\(112\) | 70.9702 | − | 18.9284i | 0.633663 | − | 0.169003i | ||||
\(113\) | 22.9401 | − | 13.2445i | 0.203010 | − | 0.117208i | −0.395049 | − | 0.918660i | \(-0.629272\pi\) |
0.598059 | + | 0.801452i | \(0.295939\pi\) | |||||||
\(114\) | 4.40059 | − | 26.8494i | 0.0386016 | − | 0.235521i | ||||
\(115\) | 18.7433 | + | 10.8214i | 0.162985 | + | 0.0940994i | ||||
\(116\) | −40.8185 | + | 31.2836i | −0.351883 | + | 0.269686i | ||||
\(117\) | −167.181 | + | 112.414i | −1.42890 | + | 0.960803i | ||||
\(118\) | 78.6255 | − | 26.6644i | 0.666318 | − | 0.225969i | ||||
\(119\) | −36.4641 | − | 21.0526i | −0.306421 | − | 0.176912i | ||||
\(120\) | −5.36202 | + | 166.809i | −0.0446835 | + | 1.39008i | ||||
\(121\) | −60.2469 | − | 104.351i | −0.497908 | − | 0.862402i | ||||
\(122\) | 52.7399 | − | 60.1032i | 0.432294 | − | 0.492649i | ||||
\(123\) | −111.294 | − | 178.394i | −0.904829 | − | 1.45036i | ||||
\(124\) | 2.26289 | + | 17.2656i | 0.0182491 | + | 0.139239i | ||||
\(125\) | −11.4202 | −0.0913620 | ||||||||
\(126\) | −65.6888 | − | 50.1308i | −0.521339 | − | 0.397864i | ||||
\(127\) | −10.6813 | −0.0841046 | −0.0420523 | − | 0.999115i | \(-0.513390\pi\) | ||||
−0.0420523 | + | 0.999115i | \(0.513390\pi\) | |||||||
\(128\) | 125.591 | − | 24.7172i | 0.981179 | − | 0.193103i | ||||
\(129\) | 84.2498 | − | 158.175i | 0.653099 | − | 1.22616i | ||||
\(130\) | 205.337 | − | 234.005i | 1.57951 | − | 1.80004i | ||||
\(131\) | 119.843 | + | 207.575i | 0.914835 | + | 1.58454i | 0.807143 | + | 0.590356i | \(0.201012\pi\) |
0.107691 | + | 0.994184i | \(0.465654\pi\) | |||||||
\(132\) | −118.429 | − | 144.047i | −0.897190 | − | 1.09127i | ||||
\(133\) | −18.0280 | − | 10.4085i | −0.135549 | − | 0.0782594i | ||||
\(134\) | −18.0545 | − | 53.2375i | −0.134735 | − | 0.397295i | ||||
\(135\) | 152.138 | − | 110.032i | 1.12694 | − | 0.815049i | ||||
\(136\) | −60.9735 | − | 40.8178i | −0.448334 | − | 0.300131i | ||||
\(137\) | 109.882 | + | 63.4404i | 0.802058 | + | 0.463069i | 0.844190 | − | 0.536043i | \(-0.180082\pi\) |
−0.0421320 | + | 0.999112i | \(0.513415\pi\) | |||||||
\(138\) | −17.4692 | + | 6.59830i | −0.126588 | + | 0.0478137i | ||||
\(139\) | −131.623 | + | 75.9927i | −0.946930 | + | 0.546710i | −0.892126 | − | 0.451787i | \(-0.850787\pi\) |
−0.0548041 | + | 0.998497i | \(0.517453\pi\) | |||||||
\(140\) | 117.946 | + | 48.9347i | 0.842469 | + | 0.349534i | ||||
\(141\) | 52.3055 | − | 98.2012i | 0.370961 | − | 0.696463i | ||||
\(142\) | −117.324 | − | 23.3725i | −0.826226 | − | 0.164595i | ||||
\(143\) | 347.857i | 2.43256i | ||||||||
\(144\) | −108.432 | − | 94.7549i | −0.753000 | − | 0.658020i | ||||
\(145\) | −89.4067 | −0.616598 | ||||||||
\(146\) | 21.0568 | − | 105.700i | 0.144225 | − | 0.723970i | ||||
\(147\) | 71.0787 | − | 44.3436i | 0.483529 | − | 0.301657i | ||||
\(148\) | −35.3134 | + | 85.1147i | −0.238604 | + | 0.575100i | ||||
\(149\) | 49.0244 | + | 84.9127i | 0.329023 | + | 0.569884i | 0.982318 | − | 0.187219i | \(-0.0599474\pi\) |
−0.653296 | + | 0.757103i | \(0.726614\pi\) | |||||||
\(150\) | −88.7811 | + | 108.439i | −0.591874 | + | 0.722924i | ||||
\(151\) | 99.7733 | − | 172.812i | 0.660750 | − | 1.14445i | −0.319668 | − | 0.947529i | \(-0.603572\pi\) |
0.980419 | − | 0.196924i | \(-0.0630951\pi\) | |||||||
\(152\) | −30.1456 | − | 20.1805i | −0.198326 | − | 0.132767i | ||||
\(153\) | 5.63925 | + | 82.3538i | 0.0368578 | + | 0.538260i | ||||
\(154\) | −135.121 | + | 45.8236i | −0.877406 | + | 0.297556i | ||||
\(155\) | −15.1364 | + | 26.2170i | −0.0976542 | + | 0.169142i | ||||
\(156\) | 43.9894 | + | 264.988i | 0.281983 | + | 1.69864i | ||||
\(157\) | 193.810 | − | 111.896i | 1.23446 | − | 0.712716i | 0.266504 | − | 0.963834i | \(-0.414131\pi\) |
0.967957 | + | 0.251118i | \(0.0807982\pi\) | |||||||
\(158\) | −1.67552 | − | 1.47025i | −0.0106045 | − | 0.00930536i | ||||
\(159\) | 2.49484 | + | 72.9531i | 0.0156908 | + | 0.458824i | ||||
\(160\) | 199.436 | + | 98.7100i | 1.24647 | + | 0.616937i | ||||
\(161\) | 14.2876i | 0.0887429i | ||||||||
\(162\) | −9.69810 | + | 161.709i | −0.0598648 | + | 0.998206i | ||||
\(163\) | 143.924i | 0.882972i | 0.897268 | + | 0.441486i | \(0.145549\pi\) | ||||
−0.897268 | + | 0.441486i | \(0.854451\pi\) | |||||||
\(164\) | −277.974 | + | 36.4323i | −1.69496 | + | 0.222148i | ||||
\(165\) | −11.0803 | − | 324.006i | −0.0671535 | − | 1.96367i | ||||
\(166\) | 119.888 | + | 105.200i | 0.722217 | + | 0.633737i | ||||
\(167\) | 232.808 | − | 134.412i | 1.39406 | − | 0.804863i | 0.400301 | − | 0.916384i | \(-0.368906\pi\) |
0.993762 | + | 0.111521i | \(0.0355723\pi\) | |||||||
\(168\) | −97.1363 | + | 51.9943i | −0.578192 | + | 0.309490i | ||||
\(169\) | 166.033 | − | 287.577i | 0.982443 | − | 1.70164i | ||||
\(170\) | −40.9684 | − | 120.804i | −0.240990 | − | 0.710610i | ||||
\(171\) | 2.78807 | + | 40.7161i | 0.0163045 | + | 0.238106i | ||||
\(172\) | −145.355 | − | 189.657i | −0.845084 | − | 1.10266i | ||||
\(173\) | −68.3117 | + | 118.319i | −0.394865 | + | 0.683926i | −0.993084 | − | 0.117406i | \(-0.962542\pi\) |
0.598219 | + | 0.801333i | \(0.295875\pi\) | |||||||
\(174\) | 48.8683 | − | 59.6885i | 0.280852 | − | 0.343037i | ||||
\(175\) | 53.6141 | + | 92.8623i | 0.306366 | + | 0.530642i | ||||
\(176\) | −240.243 | + | 64.0750i | −1.36502 | + | 0.364062i | ||||
\(177\) | −105.660 | + | 65.9177i | −0.596949 | + | 0.372416i | ||||
\(178\) | 20.9101 | + | 4.16558i | 0.117473 | + | 0.0234021i | ||||
\(179\) | −78.4371 | −0.438196 | −0.219098 | − | 0.975703i | \(-0.570311\pi\) | ||||
−0.219098 | + | 0.975703i | \(0.570311\pi\) | |||||||
\(180\) | −49.4140 | − | 245.418i | −0.274522 | − | 1.36343i | ||||
\(181\) | 237.123i | 1.31007i | 0.755597 | + | 0.655037i | \(0.227347\pi\) | ||||
−0.755597 | + | 0.655037i | \(0.772653\pi\) | |||||||
\(182\) | 201.560 | + | 40.1534i | 1.10747 | + | 0.220623i | ||||
\(183\) | −56.3861 | + | 105.862i | −0.308121 | + | 0.578483i | ||||
\(184\) | −1.65001 | + | 24.8437i | −0.00896742 | + | 0.135020i | ||||
\(185\) | −138.739 | + | 80.1008i | −0.749938 | + | 0.432977i | ||||
\(186\) | −9.22932 | − | 24.4349i | −0.0496200 | − | 0.131371i | ||||
\(187\) | 123.436 | + | 71.2656i | 0.660083 | + | 0.381099i | ||||
\(188\) | −90.2416 | − | 117.746i | −0.480009 | − | 0.626310i | ||||
\(189\) | 113.123 | + | 50.6596i | 0.598536 | + | 0.268040i | ||||
\(190\) | −20.2550 | − | 59.7260i | −0.106605 | − | 0.314347i | ||||
\(191\) | −220.726 | − | 127.436i | −1.15563 | − | 0.667205i | −0.205379 | − | 0.978682i | \(-0.565843\pi\) |
−0.950254 | + | 0.311477i | \(0.899176\pi\) | |||||||
\(192\) | −174.908 | + | 79.1913i | −0.910978 | + | 0.412455i | ||||
\(193\) | 147.201 | + | 254.960i | 0.762699 | + | 1.32103i | 0.941454 | + | 0.337140i | \(0.109460\pi\) |
−0.178755 | + | 0.983894i | \(0.557207\pi\) | |||||||
\(194\) | −218.362 | − | 191.610i | −1.12558 | − | 0.987680i | ||||
\(195\) | −219.533 | + | 412.164i | −1.12581 | + | 2.11366i | ||||
\(196\) | −14.5160 | − | 110.755i | −0.0740610 | − | 0.565077i | ||||
\(197\) | 212.853 | 1.08047 | 0.540237 | − | 0.841513i | \(-0.318335\pi\) | ||||
0.540237 | + | 0.841513i | \(0.318335\pi\) | |||||||
\(198\) | 222.365 | + | 169.699i | 1.12305 | + | 0.857067i | ||||
\(199\) | −206.128 | −1.03582 | −0.517909 | − | 0.855435i | \(-0.673290\pi\) | ||||
−0.517909 | + | 0.855435i | \(0.673290\pi\) | |||||||
\(200\) | 82.5014 | + | 167.663i | 0.412507 | + | 0.838315i | ||||
\(201\) | 44.6330 | + | 71.5426i | 0.222055 | + | 0.355933i | ||||
\(202\) | 143.667 | + | 126.066i | 0.711224 | + | 0.624091i | ||||
\(203\) | −29.5111 | − | 51.1147i | −0.145375 | − | 0.251796i | ||||
\(204\) | 103.042 | + | 38.6787i | 0.505108 | + | 0.189601i | ||||
\(205\) | −422.091 | − | 243.695i | −2.05898 | − | 1.18875i | ||||
\(206\) | 194.349 | − | 65.9099i | 0.943442 | − | 0.319951i | ||||
\(207\) | 23.2445 | − | 15.6298i | 0.112292 | − | 0.0755065i | ||||
\(208\) | 345.841 | + | 93.0970i | 1.66270 | + | 0.447582i | ||||
\(209\) | 61.0272 | + | 35.2341i | 0.291996 | + | 0.168584i | ||||
\(210\) | −189.019 | − | 30.9800i | −0.900092 | − | 0.147524i | ||||
\(211\) | 7.29372 | − | 4.21103i | 0.0345674 | − | 0.0199575i | −0.482617 | − | 0.875832i | \(-0.660314\pi\) |
0.517184 | + | 0.855874i | \(0.326980\pi\) | |||||||
\(212\) | 89.8974 | + | 37.2977i | 0.424044 | + | 0.175933i | ||||
\(213\) | 179.340 | − | 6.13304i | 0.841970 | − | 0.0287936i | ||||
\(214\) | 9.09518 | − | 45.6555i | 0.0425008 | − | 0.213343i | ||||
\(215\) | − | 415.415i | − | 1.93216i | ||||||
\(216\) | 190.851 | + | 101.152i | 0.883571 | + | 0.468298i | ||||
\(217\) | −19.9847 | −0.0920954 | ||||||||
\(218\) | −163.833 | − | 32.6377i | −0.751526 | − | 0.149714i | ||||
\(219\) | 5.52537 | + | 161.571i | 0.0252300 | + | 0.737765i | ||||
\(220\) | −399.261 | − | 165.650i | −1.81482 | − | 0.752956i | ||||
\(221\) | −102.654 | − | 177.801i | −0.464496 | − | 0.804530i | ||||
\(222\) | 22.3565 | − | 136.404i | 0.100705 | − | 0.614435i | ||||
\(223\) | −217.164 | + | 376.140i | −0.973831 | + | 1.68672i | −0.290091 | + | 0.956999i | \(0.593686\pi\) |
−0.683740 | + | 0.729726i | \(0.739648\pi\) | |||||||
\(224\) | 9.39571 | + | 146.601i | 0.0419451 | + | 0.654470i | ||||
\(225\) | 92.4270 | − | 188.811i | 0.410787 | − | 0.839160i | ||||
\(226\) | 17.0147 | + | 50.1714i | 0.0752862 | + | 0.221997i | ||||
\(227\) | 29.4669 | − | 51.0382i | 0.129810 | − | 0.224838i | −0.793793 | − | 0.608188i | \(-0.791897\pi\) |
0.923603 | + | 0.383351i | \(0.125230\pi\) | |||||||
\(228\) | 50.9445 | + | 19.1229i | 0.223441 | + | 0.0838725i | ||||
\(229\) | 150.597 | − | 86.9472i | 0.657628 | − | 0.379682i | −0.133744 | − | 0.991016i | \(-0.542700\pi\) |
0.791373 | + | 0.611334i | \(0.209367\pi\) | |||||||
\(230\) | −28.5497 | + | 32.5357i | −0.124129 | + | 0.141459i | ||||
\(231\) | 181.580 | − | 113.282i | 0.786061 | − | 0.490397i | ||||
\(232\) | −45.4117 | − | 92.2877i | −0.195740 | − | 0.397792i | ||||
\(233\) | 124.652i | 0.534987i | 0.963560 | + | 0.267494i | \(0.0861954\pi\) | ||||
−0.963560 | + | 0.267494i | \(0.913805\pi\) | |||||||
\(234\) | −155.170 | − | 371.844i | −0.663118 | − | 1.58908i | ||||
\(235\) | − | 257.906i | − | 1.09747i | ||||||
\(236\) | 21.5783 | + | 164.640i | 0.0914334 | + | 0.697626i | ||||
\(237\) | 2.95116 | + | 1.57189i | 0.0124522 | + | 0.00663246i | ||||
\(238\) | 55.5420 | − | 63.2965i | 0.233370 | − | 0.265952i | ||||
\(239\) | −111.522 | + | 64.3874i | −0.466621 | + | 0.269404i | −0.714824 | − | 0.699304i | \(-0.753493\pi\) |
0.248203 | + | 0.968708i | \(0.420160\pi\) | |||||||
\(240\) | −325.094 | − | 75.6978i | −1.35456 | − | 0.315407i | ||||
\(241\) | 131.126 | − | 227.117i | 0.544092 | − | 0.942395i | −0.454571 | − | 0.890710i | \(-0.650208\pi\) |
0.998663 | − | 0.0516849i | \(-0.0164591\pi\) | |||||||
\(242\) | 228.221 | − | 77.3969i | 0.943061 | − | 0.319822i | ||||
\(243\) | −41.3323 | − | 239.459i | −0.170092 | − | 0.985428i | ||||
\(244\) | 97.2818 | + | 126.932i | 0.398696 | + | 0.520214i | ||||
\(245\) | 97.0968 | − | 168.177i | 0.396314 | − | 0.686435i | ||||
\(246\) | 393.400 | − | 148.591i | 1.59919 | − | 0.604029i | ||||
\(247\) | −50.7525 | − | 87.9059i | −0.205476 | − | 0.355894i | ||||
\(248\) | −34.7499 | − | 2.30793i | −0.140121 | − | 0.00930619i | ||||
\(249\) | −211.164 | − | 112.474i | −0.848048 | − | 0.451701i | ||||
\(250\) | 4.46244 | − | 22.4003i | 0.0178498 | − | 0.0896013i | ||||
\(251\) | 227.156 | 0.905005 | 0.452503 | − | 0.891763i | \(-0.350531\pi\) | ||||
0.452503 | + | 0.891763i | \(0.350531\pi\) | |||||||
\(252\) | 123.997 | − | 109.257i | 0.492053 | − | 0.433560i | ||||
\(253\) | − | 48.3654i | − | 0.191167i | ||||||
\(254\) | 4.17369 | − | 20.9509i | 0.0164319 | − | 0.0824838i | ||||
\(255\) | 101.279 | + | 162.341i | 0.397172 | + | 0.636630i | ||||
\(256\) | −0.592754 | + | 255.999i | −0.00231545 | + | 0.999997i | ||||
\(257\) | 15.0254 | − | 8.67493i | 0.0584647 | − | 0.0337546i | −0.470483 | − | 0.882409i | \(-0.655920\pi\) |
0.528947 | + | 0.848655i | \(0.322587\pi\) | |||||||
\(258\) | 277.334 | + | 227.059i | 1.07494 | + | 0.880074i | ||||
\(259\) | −91.5888 | − | 52.8788i | −0.353625 | − | 0.204165i | ||||
\(260\) | 378.756 | + | 494.197i | 1.45675 | + | 1.90076i | ||||
\(261\) | −50.8751 | + | 103.928i | −0.194924 | + | 0.398192i | ||||
\(262\) | −453.978 | + | 153.958i | −1.73274 | + | 0.587626i | ||||
\(263\) | 40.5408 | + | 23.4062i | 0.154147 | + | 0.0889970i | 0.575090 | − | 0.818090i | \(-0.304967\pi\) |
−0.420942 | + | 0.907087i | \(0.638301\pi\) | |||||||
\(264\) | 328.819 | − | 176.007i | 1.24553 | − | 0.666695i | ||||
\(265\) | 84.6017 | + | 146.534i | 0.319252 | + | 0.552960i | ||||
\(266\) | 27.4602 | − | 31.2941i | 0.103234 | − | 0.117647i | ||||
\(267\) | −31.9628 | + | 1.09306i | −0.119711 | + | 0.00409386i | ||||
\(268\) | 111.478 | − | 14.6107i | 0.415962 | − | 0.0545175i | ||||
\(269\) | −474.565 | −1.76418 | −0.882091 | − | 0.471079i | \(-0.843865\pi\) | ||||
−0.882091 | + | 0.471079i | \(0.843865\pi\) | |||||||
\(270\) | 156.375 | + | 341.406i | 0.579167 | + | 1.26447i | ||||
\(271\) | 10.2990 | 0.0380036 | 0.0190018 | − | 0.999819i | \(-0.493951\pi\) | ||||
0.0190018 | + | 0.999819i | \(0.493951\pi\) | |||||||
\(272\) | 103.888 | − | 103.647i | 0.381940 | − | 0.381057i | ||||
\(273\) | −308.101 | + | 10.5364i | −1.12857 | + | 0.0385949i | ||||
\(274\) | −167.372 | + | 190.740i | −0.610846 | + | 0.696130i | ||||
\(275\) | −181.490 | − | 314.351i | −0.659965 | − | 1.14309i | ||||
\(276\) | −6.11621 | − | 36.8434i | −0.0221602 | − | 0.133491i | ||||
\(277\) | 333.475 | + | 192.532i | 1.20388 | + | 0.695060i | 0.961416 | − | 0.275100i | \(-0.0887110\pi\) |
0.242464 | + | 0.970160i | \(0.422044\pi\) | |||||||
\(278\) | −97.6249 | − | 287.868i | −0.351169 | − | 1.03549i | ||||
\(279\) | 21.8621 | + | 32.5131i | 0.0783589 | + | 0.116534i | ||||
\(280\) | −142.070 | + | 212.224i | −0.507394 | + | 0.757944i | ||||
\(281\) | 9.19798 | + | 5.31046i | 0.0327330 | + | 0.0188984i | 0.516277 | − | 0.856422i | \(-0.327317\pi\) |
−0.483544 | + | 0.875320i | \(0.660651\pi\) | |||||||
\(282\) | 172.179 | + | 140.967i | 0.610565 | + | 0.499883i | ||||
\(283\) | −326.705 | + | 188.623i | −1.15443 | + | 0.666512i | −0.949964 | − | 0.312360i | \(-0.898880\pi\) |
−0.204470 | + | 0.978873i | \(0.565547\pi\) | |||||||
\(284\) | 91.6884 | − | 220.994i | 0.322847 | − | 0.778146i | ||||
\(285\) | 50.0728 | + | 80.2621i | 0.175694 | + | 0.281621i | ||||
\(286\) | −682.306 | − | 135.924i | −2.38569 | − | 0.475260i | ||||
\(287\) | − | 321.752i | − | 1.12109i | ||||||
\(288\) | 228.227 | − | 175.659i | 0.792456 | − | 0.609929i | ||||
\(289\) | 204.877 | 0.708918 | ||||||||
\(290\) | 34.9355 | − | 175.367i | 0.120467 | − | 0.604715i | ||||
\(291\) | 384.610 | + | 204.857i | 1.32168 | + | 0.703977i | ||||
\(292\) | 199.098 | + | 82.6040i | 0.681841 | + | 0.282890i | ||||
\(293\) | −124.349 | − | 215.379i | −0.424399 | − | 0.735080i | 0.571965 | − | 0.820278i | \(-0.306181\pi\) |
−0.996364 | + | 0.0851974i | \(0.972848\pi\) | |||||||
\(294\) | 59.2042 | + | 156.745i | 0.201375 | + | 0.533146i | ||||
\(295\) | −144.336 | + | 249.998i | −0.489276 | + | 0.847451i | ||||
\(296\) | −153.150 | − | 102.524i | −0.517400 | − | 0.346366i | ||||
\(297\) | −382.937 | − | 171.489i | −1.28935 | − | 0.577405i | ||||
\(298\) | −185.709 | + | 62.9797i | −0.623184 | + | 0.211341i | ||||
\(299\) | −34.8336 | + | 60.3336i | −0.116500 | + | 0.201785i | ||||
\(300\) | −178.007 | − | 216.513i | −0.593356 | − | 0.721709i | ||||
\(301\) | 237.497 | − | 137.119i | 0.789026 | − | 0.455544i | ||||
\(302\) | 299.978 | + | 263.227i | 0.993305 | + | 0.871613i | ||||
\(303\) | −253.047 | − | 134.782i | −0.835140 | − | 0.444825i | ||||
\(304\) | 51.3626 | − | 51.2438i | 0.168956 | − | 0.168565i | ||||
\(305\) | 278.026i | 0.911561i | ||||||||
\(306\) | −163.737 | − | 21.1185i | −0.535088 | − | 0.0690146i | ||||
\(307\) | − | 557.648i | − | 1.81644i | −0.418488 | − | 0.908222i | \(-0.637440\pi\) | ||
0.418488 | − | 0.908222i | \(-0.362560\pi\) | |||||||
\(308\) | −37.0830 | − | 282.939i | −0.120399 | − | 0.918632i | ||||
\(309\) | −261.174 | + | 162.937i | −0.845222 | + | 0.527305i | ||||
\(310\) | −45.5090 | − | 39.9337i | −0.146803 | − | 0.128818i | ||||
\(311\) | −124.423 | + | 71.8354i | −0.400072 | + | 0.230982i | −0.686515 | − | 0.727115i | \(-0.740860\pi\) |
0.286443 | + | 0.958097i | \(0.407527\pi\) | |||||||
\(312\) | −536.951 | − | 17.2601i | −1.72100 | − | 0.0553207i | ||||
\(313\) | −135.455 | + | 234.614i | −0.432763 | + | 0.749567i | −0.997110 | − | 0.0759706i | \(-0.975794\pi\) |
0.564347 | + | 0.825537i | \(0.309128\pi\) | |||||||
\(314\) | 143.749 | + | 423.874i | 0.457799 | + | 1.34992i | ||||
\(315\) | 286.641 | − | 19.6280i | 0.909970 | − | 0.0623110i | ||||
\(316\) | 3.53853 | − | 2.71196i | 0.0111979 | − | 0.00858214i | ||||
\(317\) | −152.700 | + | 264.483i | −0.481702 | + | 0.834332i | −0.999779 | − | 0.0210014i | \(-0.993315\pi\) |
0.518077 | + | 0.855334i | \(0.326648\pi\) | |||||||
\(318\) | −144.069 | − | 23.6128i | −0.453048 | − | 0.0742540i | ||||
\(319\) | 99.8988 | + | 173.030i | 0.313162 | + | 0.542413i | ||||
\(320\) | −271.545 | + | 352.614i | −0.848577 | + | 1.10192i | ||||
\(321\) | 2.38661 | + | 69.7881i | 0.00743492 | + | 0.217409i | ||||
\(322\) | −28.0245 | − | 5.58286i | −0.0870327 | − | 0.0173381i | ||||
\(323\) | −41.5908 | −0.128764 | ||||||||
\(324\) | −313.397 | − | 82.2101i | −0.967274 | − | 0.253735i | ||||
\(325\) | 522.851i | 1.60877i | ||||||||
\(326\) | −282.302 | − | 56.2383i | −0.865956 | − | 0.172510i | ||||
\(327\) | 250.432 | − | 8.56424i | 0.765846 | − | 0.0261903i | ||||
\(328\) | 37.1575 | − | 559.471i | 0.113285 | − | 1.70570i | ||||
\(329\) | 147.447 | − | 85.1286i | 0.448167 | − | 0.258750i | ||||
\(330\) | 639.854 | + | 104.871i | 1.93895 | + | 0.317792i | ||||
\(331\) | 371.718 | + | 214.612i | 1.12302 | + | 0.648373i | 0.942169 | − | 0.335138i | \(-0.108783\pi\) |
0.180846 | + | 0.983511i | \(0.442116\pi\) | |||||||
\(332\) | −253.192 | + | 194.048i | −0.762627 | + | 0.584483i | ||||
\(333\) | 14.1644 | + | 206.852i | 0.0425357 | + | 0.621178i | ||||
\(334\) | 172.674 | + | 509.165i | 0.516988 | + | 1.52445i | ||||
\(335\) | 169.274 | + | 97.7305i | 0.505296 | + | 0.291733i | ||||
\(336\) | −64.0288 | − | 210.845i | −0.190562 | − | 0.627516i | ||||
\(337\) | −233.725 | − | 404.823i | −0.693545 | − | 1.20125i | −0.970669 | − | 0.240421i | \(-0.922715\pi\) |
0.277124 | − | 0.960834i | \(-0.410619\pi\) | |||||||
\(338\) | 499.194 | + | 438.037i | 1.47690 | + | 1.29597i | ||||
\(339\) | −42.0624 | − | 67.4222i | −0.124078 | − | 0.198886i | ||||
\(340\) | 252.960 | − | 33.1538i | 0.743999 | − | 0.0975113i | ||||
\(341\) | 67.6507 | 0.198389 | ||||||||
\(342\) | −80.9524 | − | 10.4411i | −0.236703 | − | 0.0305295i | ||||
\(343\) | 353.141 | 1.02957 | ||||||||
\(344\) | 428.801 | − | 210.999i | 1.24651 | − | 0.613368i | ||||
\(345\) | 30.5235 | − | 57.3065i | 0.0884739 | − | 0.166106i | ||||
\(346\) | −205.386 | − | 180.224i | −0.593600 | − | 0.520877i | ||||
\(347\) | 111.555 | + | 193.219i | 0.321484 | + | 0.556826i | 0.980794 | − | 0.195045i | \(-0.0624851\pi\) |
−0.659311 | + | 0.751871i | \(0.729152\pi\) | |||||||
\(348\) | 97.9812 | + | 119.176i | 0.281555 | + | 0.342460i | ||||
\(349\) | −42.4023 | − | 24.4810i | −0.121497 | − | 0.0701461i | 0.438020 | − | 0.898965i | \(-0.355680\pi\) |
−0.559517 | + | 0.828819i | \(0.689013\pi\) | |||||||
\(350\) | −203.095 | + | 68.8759i | −0.580272 | + | 0.196788i | ||||
\(351\) | 354.187 | + | 489.723i | 1.00908 | + | 1.39522i | ||||
\(352\) | −31.8057 | − | 496.264i | −0.0903570 | − | 1.40984i | ||||
\(353\) | 32.8296 | + | 18.9542i | 0.0930017 | + | 0.0536945i | 0.545780 | − | 0.837929i | \(-0.316234\pi\) |
−0.452778 | + | 0.891623i | \(0.649567\pi\) | |||||||
\(354\) | −88.0082 | − | 233.005i | −0.248611 | − | 0.658206i | ||||
\(355\) | 360.224 | − | 207.975i | 1.01471 | − | 0.585846i | ||||
\(356\) | −16.3412 | + | 39.3866i | −0.0459022 | + | 0.110637i | ||||
\(357\) | −59.3820 | + | 111.487i | −0.166336 | + | 0.312288i | ||||
\(358\) | 30.6492 | − | 153.851i | 0.0856122 | − | 0.429752i | ||||
\(359\) | − | 538.228i | − | 1.49924i | −0.661868 | − | 0.749621i | \(-0.730236\pi\) | ||
0.661868 | − | 0.749621i | \(-0.269764\pi\) | |||||||
\(360\) | 500.685 | − | 1.02692i | 1.39079 | − | 0.00285255i | ||||
\(361\) | 340.437 | 0.943040 | ||||||||
\(362\) | −465.107 | − | 92.6555i | −1.28483 | − | 0.255955i | ||||
\(363\) | −306.692 | + | 191.335i | −0.844881 | + | 0.527092i | ||||
\(364\) | −157.518 | + | 379.661i | −0.432743 | + | 1.04303i | ||||
\(365\) | 187.369 | + | 324.533i | 0.513340 | + | 0.889130i | ||||
\(366\) | −185.612 | − | 151.965i | −0.507136 | − | 0.415204i | ||||
\(367\) | 58.2868 | − | 100.956i | 0.158820 | − | 0.275084i | −0.775624 | − | 0.631196i | \(-0.782564\pi\) |
0.934443 | + | 0.356112i | \(0.115898\pi\) | |||||||
\(368\) | −48.0851 | − | 12.9440i | −0.130666 | − | 0.0351740i | ||||
\(369\) | −523.458 | + | 351.978i | −1.41859 | + | 0.953871i | ||||
\(370\) | −102.902 | − | 303.429i | −0.278114 | − | 0.820079i | ||||
\(371\) | −55.8501 | + | 96.7352i | −0.150539 | + | 0.260742i | ||||
\(372\) | 51.5345 | − | 8.55501i | 0.138533 | − | 0.0229973i | ||||
\(373\) | −117.381 | + | 67.7702i | −0.314695 | + | 0.181689i | −0.649026 | − | 0.760767i | \(-0.724823\pi\) |
0.334330 | + | 0.942456i | \(0.391490\pi\) | |||||||
\(374\) | −188.017 | + | 214.267i | −0.502718 | + | 0.572906i | ||||
\(375\) | 1.17096 | + | 34.2407i | 0.00312256 | + | 0.0913086i | ||||
\(376\) | 266.216 | − | 130.996i | 0.708021 | − | 0.348394i | ||||
\(377\) | − | 287.796i | − | 0.763384i | ||||||
\(378\) | −143.569 | + | 202.091i | −0.379813 | + | 0.534633i | ||||
\(379\) | − | 292.521i | − | 0.771822i | −0.922536 | − | 0.385911i | \(-0.873887\pi\) | ||
0.922536 | − | 0.385911i | \(-0.126113\pi\) | |||||||
\(380\) | 125.065 | − | 16.3914i | 0.329117 | − | 0.0431353i | ||||
\(381\) | 1.09519 | + | 32.0251i | 0.00287452 | + | 0.0840554i | ||||
\(382\) | 336.209 | − | 383.149i | 0.880128 | − | 1.00301i | ||||
\(383\) | 230.166 | − | 132.886i | 0.600956 | − | 0.346962i | −0.168462 | − | 0.985708i | \(-0.553880\pi\) |
0.769417 | + | 0.638746i | \(0.220547\pi\) | |||||||
\(384\) | −86.9855 | − | 374.018i | −0.226525 | − | 0.974005i | ||||
\(385\) | 248.047 | − | 429.630i | 0.644278 | − | 1.11592i | ||||
\(386\) | −557.611 | + | 189.103i | −1.44459 | + | 0.489905i | ||||
\(387\) | −482.887 | − | 236.384i | −1.24777 | − | 0.610810i | ||||
\(388\) | 461.159 | − | 353.436i | 1.18855 | − | 0.910918i | ||||
\(389\) | −70.7571 | + | 122.555i | −0.181895 | + | 0.315051i | −0.942526 | − | 0.334133i | \(-0.891556\pi\) |
0.760631 | + | 0.649185i | \(0.224890\pi\) | |||||||
\(390\) | −722.659 | − | 591.657i | −1.85297 | − | 1.51707i | ||||
\(391\) | 14.2728 | + | 24.7212i | 0.0365033 | + | 0.0632255i | ||||
\(392\) | 222.913 | + | 14.8049i | 0.568657 | + | 0.0377676i | ||||
\(393\) | 610.072 | − | 380.603i | 1.55235 | − | 0.968456i | ||||
\(394\) | −83.1721 | + | 417.503i | −0.211097 | + | 1.05965i | ||||
\(395\) | 7.75062 | 0.0196218 | ||||||||
\(396\) | −419.747 | + | 369.849i | −1.05997 | + | 0.933963i | ||||
\(397\) | − | 371.596i | − | 0.936009i | −0.883726 | − | 0.468004i | \(-0.844973\pi\) | ||
0.883726 | − | 0.468004i | \(-0.155027\pi\) | |||||||
\(398\) | 80.5442 | − | 404.311i | 0.202372 | − | 1.01586i | ||||
\(399\) | −29.3588 | + | 55.1197i | −0.0735808 | + | 0.138145i | ||||
\(400\) | −361.101 | + | 96.3088i | −0.902753 | + | 0.240772i | ||||
\(401\) | −25.8599 | + | 14.9302i | −0.0644885 | + | 0.0372325i | −0.531898 | − | 0.846809i | \(-0.678521\pi\) |
0.467409 | + | 0.884041i | \(0.345188\pi\) | |||||||
\(402\) | −157.768 | + | 59.5905i | −0.392458 | + | 0.148235i | ||||
\(403\) | −84.3913 | − | 48.7233i | −0.209408 | − | 0.120902i | ||||
\(404\) | −303.411 | + | 232.537i | −0.751018 | + | 0.575586i | ||||
\(405\) | −345.501 | − | 444.864i | −0.853090 | − | 1.09843i | ||||
\(406\) | 111.791 | − | 37.9117i | 0.275347 | − | 0.0933787i | ||||
\(407\) | 310.040 | + | 179.001i | 0.761768 | + | 0.439807i | ||||
\(408\) | −116.130 | + | 186.999i | −0.284632 | + | 0.458330i | ||||
\(409\) | 180.690 | + | 312.965i | 0.441785 | + | 0.765195i | 0.997822 | − | 0.0659631i | \(-0.0210120\pi\) |
−0.556037 | + | 0.831158i | \(0.687679\pi\) | |||||||
\(410\) | 642.928 | − | 732.691i | 1.56812 | − | 1.78705i | ||||
\(411\) | 178.943 | − | 335.958i | 0.435385 | − | 0.817417i | ||||
\(412\) | 53.3379 | + | 406.962i | 0.129461 | + | 0.987771i | ||||
\(413\) | −190.568 | −0.461425 | ||||||||
\(414\) | 21.5745 | + | 51.7005i | 0.0521123 | + | 0.124880i | ||||
\(415\) | −554.579 | −1.33634 | ||||||||
\(416\) | −317.742 | + | 641.974i | −0.763804 | + | 1.54321i | ||||
\(417\) | 241.341 | + | 386.847i | 0.578755 | + | 0.927691i | ||||
\(418\) | −92.9564 | + | 105.935i | −0.222384 | + | 0.253432i | ||||
\(419\) | −98.1870 | − | 170.065i | −0.234336 | − | 0.405883i | 0.724743 | − | 0.689019i | \(-0.241958\pi\) |
−0.959080 | + | 0.283136i | \(0.908625\pi\) | |||||||
\(420\) | 134.625 | − | 358.648i | 0.320536 | − | 0.853923i | ||||
\(421\) | −82.7053 | − | 47.7499i | −0.196450 | − | 0.113420i | 0.398549 | − | 0.917147i | \(-0.369514\pi\) |
−0.594998 | + | 0.803727i | \(0.702847\pi\) | |||||||
\(422\) | 5.40975 | + | 15.9518i | 0.0128193 | + | 0.0378004i | ||||
\(423\) | −299.795 | − | 146.756i | −0.708735 | − | 0.346941i | ||||
\(424\) | −108.285 | + | 161.756i | −0.255389 | + | 0.381500i | ||||
\(425\) | 185.532 | + | 107.117i | 0.436545 | + | 0.252040i | ||||
\(426\) | −58.0469 | + | 354.163i | −0.136260 | + | 0.831369i | ||||
\(427\) | −158.950 | + | 91.7699i | −0.372249 | + | 0.214918i | ||||
\(428\) | 85.9974 | + | 35.6796i | 0.200928 | + | 0.0833636i | ||||
\(429\) | 1042.96 | − | 35.6671i | 2.43114 | − | 0.0831400i | ||||
\(430\) | 814.819 | + | 162.323i | 1.89493 | + | 0.377495i | ||||
\(431\) | 237.261i | 0.550490i | 0.961374 | + | 0.275245i | \(0.0887589\pi\) | ||||
−0.961374 | + | 0.275245i | \(0.911241\pi\) | |||||||
\(432\) | −272.981 | + | 334.822i | −0.631900 | + | 0.775050i | ||||
\(433\) | −180.685 | −0.417287 | −0.208644 | − | 0.977992i | \(-0.566905\pi\) | ||||
−0.208644 | + | 0.977992i | \(0.566905\pi\) | |||||||
\(434\) | 7.80899 | − | 39.1991i | 0.0179931 | − | 0.0903206i | ||||
\(435\) | 9.16721 | + | 268.063i | 0.0210740 | + | 0.616238i | ||||
\(436\) | 128.035 | − | 308.598i | 0.293658 | − | 0.707793i | ||||
\(437\) | 7.05653 | + | 12.2223i | 0.0161477 | + | 0.0279686i | ||||
\(438\) | −319.073 | − | 52.2956i | −0.728477 | − | 0.119396i | ||||
\(439\) | 93.0216 | − | 161.118i | 0.211894 | − | 0.367012i | −0.740413 | − | 0.672152i | \(-0.765370\pi\) |
0.952307 | + | 0.305140i | \(0.0987034\pi\) | |||||||
\(440\) | 480.927 | − | 718.406i | 1.09301 | − | 1.63274i | ||||
\(441\) | −140.241 | − | 208.565i | −0.318007 | − | 0.472936i | ||||
\(442\) | 388.861 | − | 131.875i | 0.879777 | − | 0.298360i | ||||
\(443\) | 141.006 | − | 244.230i | 0.318299 | − | 0.551310i | −0.661834 | − | 0.749650i | \(-0.730222\pi\) |
0.980133 | + | 0.198340i | \(0.0635551\pi\) | |||||||
\(444\) | 258.816 | + | 97.1512i | 0.582919 | + | 0.218809i | ||||
\(445\) | −64.2009 | + | 37.0664i | −0.144272 | + | 0.0832954i | ||||
\(446\) | −652.925 | − | 572.935i | −1.46396 | − | 1.28461i | ||||
\(447\) | 249.563 | − | 155.694i | 0.558306 | − | 0.348308i | ||||
\(448\) | −291.224 | − | 38.8549i | −0.650053 | − | 0.0867298i | ||||
\(449\) | 158.722i | 0.353502i | 0.984256 | + | 0.176751i | \(0.0565588\pi\) | ||||
−0.984256 | + | 0.176751i | \(0.943441\pi\) | |||||||
\(450\) | 334.229 | + | 255.069i | 0.742731 | + | 0.566820i | ||||
\(451\) | 1089.17i | 2.41501i | ||||||||
\(452\) | −105.057 | + | 13.7692i | −0.232428 | + | 0.0304629i | ||||
\(453\) | −528.365 | − | 281.426i | −1.16637 | − | 0.621249i | ||||
\(454\) | 88.5950 | + | 77.7411i | 0.195143 | + | 0.171236i | ||||
\(455\) | −618.855 | + | 357.296i | −1.36012 | + | 0.785266i | ||||
\(456\) | −57.4153 | + | 92.4532i | −0.125911 | + | 0.202748i | ||||
\(457\) | −213.180 | + | 369.239i | −0.466477 | + | 0.807963i | −0.999267 | − | 0.0382852i | \(-0.987810\pi\) |
0.532789 | + | 0.846248i | \(0.321144\pi\) | |||||||
\(458\) | 111.698 | + | 329.364i | 0.243881 | + | 0.719135i | ||||
\(459\) | 246.339 | − | 25.3519i | 0.536686 | − | 0.0552329i | ||||
\(460\) | −52.6616 | − | 68.7122i | −0.114482 | − | 0.149374i | ||||
\(461\) | −203.028 | + | 351.655i | −0.440408 | + | 0.762808i | −0.997720 | − | 0.0674949i | \(-0.978499\pi\) |
0.557312 | + | 0.830303i | \(0.311833\pi\) | |||||||
\(462\) | 151.245 | + | 400.426i | 0.327370 | + | 0.866724i | ||||
\(463\) | −357.640 | − | 619.450i | −0.772440 | − | 1.33790i | −0.936222 | − | 0.351408i | \(-0.885703\pi\) |
0.163783 | − | 0.986496i | \(-0.447630\pi\) | |||||||
\(464\) | 198.763 | − | 53.0118i | 0.428368 | − | 0.114250i | ||||
\(465\) | 80.1571 | + | 42.6945i | 0.172381 | + | 0.0918162i | ||||
\(466\) | −244.500 | − | 48.7076i | −0.524677 | − | 0.104523i | ||||
\(467\) | 419.019 | 0.897256 | 0.448628 | − | 0.893719i | \(-0.351913\pi\) | ||||
0.448628 | + | 0.893719i | \(0.351913\pi\) | |||||||
\(468\) | 789.988 | − | 159.061i | 1.68801 | − | 0.339875i | ||||
\(469\) | 129.034i | 0.275126i | ||||||||
\(470\) | 505.871 | + | 100.776i | 1.07632 | + | 0.214417i | ||||
\(471\) | −355.365 | − | 569.618i | −0.754491 | − | 1.20938i | ||||
\(472\) | −331.365 | − | 22.0078i | −0.702045 | − | 0.0466267i | ||||
\(473\) | −803.957 | + | 464.165i | −1.69970 | + | 0.981321i | ||||
\(474\) | −4.23636 | + | 5.17436i | −0.00893748 | + | 0.0109164i | ||||
\(475\) | 91.7279 | + | 52.9591i | 0.193111 | + | 0.111493i | ||||
\(476\) | 102.451 | + | 133.676i | 0.215232 | + | 0.280832i | ||||
\(477\) | 218.475 | − | 14.9603i | 0.458020 | − | 0.0313633i | ||||
\(478\) | −82.7161 | − | 243.906i | −0.173046 | − | 0.510263i | ||||
\(479\) | −27.1481 | − | 15.6740i | −0.0566766 | − | 0.0327223i | 0.471394 | − | 0.881923i | \(-0.343751\pi\) |
−0.528071 | + | 0.849201i | \(0.677084\pi\) | |||||||
\(480\) | 275.508 | − | 608.079i | 0.573975 | − | 1.26683i | ||||
\(481\) | −257.840 | − | 446.593i | −0.536051 | − | 0.928467i | ||||
\(482\) | 394.244 | + | 345.944i | 0.817933 | + | 0.717727i | ||||
\(483\) | 42.8378 | − | 1.46496i | 0.0886910 | − | 0.00303305i | ||||
\(484\) | 62.6337 | + | 477.888i | 0.129409 | + | 0.987372i | ||||
\(485\) | 1010.10 | 2.08268 | ||||||||
\(486\) | 485.839 | + | 12.4966i | 0.999669 | + | 0.0257132i | ||||
\(487\) | 156.973 | 0.322327 | 0.161163 | − | 0.986928i | \(-0.448475\pi\) | ||||
0.161163 | + | 0.986928i | \(0.448475\pi\) | |||||||
\(488\) | −286.985 | + | 141.216i | −0.588084 | + | 0.289376i | ||||
\(489\) | 431.521 | − | 14.7571i | 0.882457 | − | 0.0301782i | ||||
\(490\) | 291.931 | + | 256.166i | 0.595777 | + | 0.522788i | ||||
\(491\) | −15.1335 | − | 26.2120i | −0.0308218 | − | 0.0533849i | 0.850203 | − | 0.526455i | \(-0.176479\pi\) |
−0.881025 | + | 0.473070i | \(0.843146\pi\) | |||||||
\(492\) | 137.735 | + | 829.700i | 0.279949 | + | 1.68638i | ||||
\(493\) | −102.123 | − | 58.9609i | −0.207147 | − | 0.119596i | ||||
\(494\) | 192.255 | − | 65.1998i | 0.389180 | − | 0.131983i | ||||
\(495\) | −970.315 | + | 66.4432i | −1.96023 | + | 0.134229i | ||||
\(496\) | 18.1054 | − | 67.2587i | 0.0365028 | − | 0.135602i | ||||
\(497\) | 237.803 | + | 137.296i | 0.478477 | + | 0.276249i | ||||
\(498\) | 303.124 | − | 370.240i | 0.608683 | − | 0.743455i | ||||
\(499\) | −92.1565 | + | 53.2066i | −0.184682 | + | 0.106626i | −0.589491 | − | 0.807775i | \(-0.700672\pi\) |
0.404808 | + | 0.914402i | \(0.367338\pi\) | |||||||
\(500\) | 42.1936 | + | 17.5058i | 0.0843872 | + | 0.0350116i | ||||
\(501\) | −426.871 | − | 684.236i | −0.852039 | − | 1.36574i | ||||
\(502\) | −88.7609 | + | 445.557i | −0.176815 | + | 0.887565i | ||||
\(503\) | 895.530i | 1.78038i | 0.455592 | + | 0.890189i | \(0.349428\pi\) | ||||
−0.455592 | + | 0.890189i | \(0.650572\pi\) | |||||||
\(504\) | 165.852 | + | 285.908i | 0.329071 | + | 0.567277i | ||||
\(505\) | −664.577 | −1.31599 | ||||||||
\(506\) | 94.8666 | + | 18.8987i | 0.187483 | + | 0.0373492i | ||||
\(507\) | −879.252 | − | 468.321i | −1.73422 | − | 0.923710i | ||||
\(508\) | 39.4634 | + | 16.3730i | 0.0776839 | + | 0.0322304i | ||||
\(509\) | −136.924 | − | 237.160i | −0.269006 | − | 0.465932i | 0.699599 | − | 0.714535i | \(-0.253362\pi\) |
−0.968605 | + | 0.248603i | \(0.920029\pi\) | |||||||
\(510\) | −357.999 | + | 135.220i | −0.701959 | + | 0.265137i | ||||
\(511\) | −123.692 | + | 214.241i | −0.242059 | + | 0.419259i | ||||
\(512\) | −501.900 | − | 101.194i | −0.980274 | − | 0.197644i | ||||
\(513\) | 121.791 | − | 12.5341i | 0.237410 | − | 0.0244330i | ||||
\(514\) | 11.1444 | + | 32.8614i | 0.0216816 | + | 0.0639328i | ||||
\(515\) | −356.775 | + | 617.953i | −0.692768 | + | 1.19991i | ||||
\(516\) | −553.735 | + | 455.255i | −1.07313 | + | 0.882277i | ||||
\(517\) | −499.127 | + | 288.171i | −0.965430 | + | 0.557391i | ||||
\(518\) | 139.508 | − | 158.985i | 0.269320 | − | 0.306921i | ||||
\(519\) | 361.755 | + | 192.684i | 0.697023 | + | 0.371259i | ||||
\(520\) | −1117.34 | + | 549.807i | −2.14874 | + | 1.05732i | ||||
\(521\) | − | 575.650i | − | 1.10489i | −0.833548 | − | 0.552447i | \(-0.813694\pi\) | ||
0.833548 | − | 0.552447i | \(-0.186306\pi\) | |||||||
\(522\) | −183.971 | − | 140.399i | −0.352436 | − | 0.268964i | ||||
\(523\) | − | 83.4381i | − | 0.159537i | −0.996813 | − | 0.0797687i | \(-0.974582\pi\) | ||
0.996813 | − | 0.0797687i | \(-0.0254182\pi\) | |||||||
\(524\) | −124.591 | − | 950.617i | −0.237770 | − | 1.81415i | ||||
\(525\) | 272.927 | − | 170.270i | 0.519861 | − | 0.324323i | ||||
\(526\) | −61.7515 | + | 70.3730i | −0.117398 | + | 0.133789i | ||||
\(527\) | −34.5786 | + | 19.9639i | −0.0656140 | + | 0.0378823i | ||||
\(528\) | 216.746 | + | 713.739i | 0.410503 | + | 1.35178i | ||||
\(529\) | −259.657 | + | 449.739i | −0.490845 | + | 0.850168i | ||||
\(530\) | −320.479 | + | 108.685i | −0.604677 | + | 0.205065i | ||||
\(531\) | 208.471 | + | 310.036i | 0.392601 | + | 0.583872i | ||||
\(532\) | 50.6521 | + | 66.0902i | 0.0952107 | + | 0.124230i | ||||
\(533\) | 784.441 | − | 1358.69i | 1.47175 | − | 2.54914i | ||||
\(534\) | 10.3454 | − | 63.1209i | 0.0193735 | − | 0.118204i | ||||
\(535\) | 80.9314 | + | 140.177i | 0.151274 | + | 0.262014i | ||||
\(536\) | −14.9015 | + | 224.368i | −0.0278014 | + | 0.418597i | ||||
\(537\) | 8.04245 | + | 235.174i | 0.0149766 | + | 0.437940i | ||||
\(538\) | 185.435 | − | 930.839i | 0.344676 | − | 1.73018i | ||||
\(539\) | −433.965 | −0.805130 | ||||||||
\(540\) | −730.757 | + | 173.319i | −1.35325 | + | 0.320961i | ||||
\(541\) | − | 995.189i | − | 1.83954i | −0.392463 | − | 0.919768i | \(-0.628377\pi\) | ||
0.392463 | − | 0.919768i | \(-0.371623\pi\) | |||||||
\(542\) | −4.02430 | + | 20.2010i | −0.00742492 | + | 0.0372712i | ||||
\(543\) | 710.954 | − | 24.3131i | 1.30931 | − | 0.0447756i | ||||
\(544\) | 162.706 | + | 244.271i | 0.299092 | + | 0.449028i | ||||
\(545\) | 503.020 | − | 290.419i | 0.922973 | − | 0.532879i | ||||
\(546\) | 99.7231 | − | 608.444i | 0.182643 | − | 1.11437i | ||||
\(547\) | −447.270 | − | 258.231i | −0.817678 | − | 0.472087i | 0.0319370 | − | 0.999490i | \(-0.489832\pi\) |
−0.849615 | + | 0.527403i | \(0.823166\pi\) | |||||||
\(548\) | −308.727 | − | 402.824i | −0.563371 | − | 0.735080i | ||||
\(549\) | 323.183 | + | 158.205i | 0.588676 | + | 0.288169i | ||||
\(550\) | 687.503 | − | 233.154i | 1.25000 | − | 0.423916i | ||||
\(551\) | −50.4903 | − | 29.1506i | −0.0916339 | − | 0.0529049i | ||||
\(552\) | 74.6566 | + | 2.39981i | 0.135248 | + | 0.00434748i | ||||
\(553\) | 2.55830 | + | 4.43111i | 0.00462622 | + | 0.00801285i | ||||
\(554\) | −507.947 | + | 578.865i | −0.916873 | + | 1.04488i | ||||
\(555\) | 254.387 | + | 407.760i | 0.458355 | + | 0.734702i | ||||
\(556\) | 602.787 | − | 79.0034i | 1.08415 | − | 0.142092i | ||||
\(557\) | 440.448 | 0.790751 | 0.395376 | − | 0.918520i | \(-0.370614\pi\) | ||||
0.395376 | + | 0.918520i | \(0.370614\pi\) | |||||||
\(558\) | −72.3157 | + | 30.1772i | −0.129598 | + | 0.0540810i | ||||
\(559\) | 1337.20 | 2.39213 | ||||||||
\(560\) | −360.755 | − | 361.591i | −0.644206 | − | 0.645699i | ||||
\(561\) | 201.016 | − | 377.398i | 0.358316 | − | 0.672723i | ||||
\(562\) | −14.0103 | + | 15.9664i | −0.0249294 | + | 0.0284100i | ||||
\(563\) | 129.798 | + | 224.816i | 0.230547 | + | 0.399319i | 0.957969 | − | 0.286871i | \(-0.0926152\pi\) |
−0.727422 | + | 0.686190i | \(0.759282\pi\) | |||||||
\(564\) | −343.780 | + | 282.640i | −0.609538 | + | 0.501134i | ||||
\(565\) | −159.525 | − | 92.1019i | −0.282345 | − | 0.163012i | ||||
\(566\) | −242.317 | − | 714.521i | −0.428121 | − | 1.26241i | ||||
\(567\) | 140.291 | − | 344.366i | 0.247427 | − | 0.607347i | ||||
\(568\) | 397.642 | + | 266.196i | 0.700075 | + | 0.468655i | ||||
\(569\) | −892.111 | − | 515.060i | −1.56786 | − | 0.905203i | −0.996419 | − | 0.0845575i | \(-0.973052\pi\) |
−0.571438 | − | 0.820645i | \(-0.693614\pi\) | |||||||
\(570\) | −176.997 | + | 66.8533i | −0.310520 | + | 0.117287i | ||||
\(571\) | −683.633 | + | 394.696i | −1.19726 | + | 0.691236i | −0.959942 | − | 0.280197i | \(-0.909600\pi\) |
−0.237313 | + | 0.971433i | \(0.576267\pi\) | |||||||
\(572\) | 533.220 | − | 1285.20i | 0.932203 | − | 2.24686i | ||||
\(573\) | −359.453 | + | 674.857i | −0.627318 | + | 1.17776i | ||||
\(574\) | 631.102 | + | 125.724i | 1.09948 | + | 0.219031i | ||||
\(575\) | − | 72.6963i | − | 0.126428i | ||||||
\(576\) | 255.369 | + | 516.297i | 0.443349 | + | 0.896349i | ||||
\(577\) | −100.099 | −0.173482 | −0.0867411 | − | 0.996231i | \(-0.527645\pi\) | ||||
−0.0867411 | + | 0.996231i | \(0.527645\pi\) | |||||||
\(578\) | −80.0554 | + | 401.858i | −0.138504 | + | 0.695256i | ||||
\(579\) | 749.339 | − | 467.487i | 1.29419 | − | 0.807404i | ||||
\(580\) | 330.325 | + | 137.049i | 0.569526 | + | 0.236292i | ||||
\(581\) | −183.054 | − | 317.058i | −0.315067 | − | 0.545711i | ||||
\(582\) | −552.105 | + | 674.349i | −0.948633 | + | 1.15868i | ||||
\(583\) | 189.060 | − | 327.461i | 0.324288 | − | 0.561683i | ||||
\(584\) | −239.821 | + | 358.244i | −0.410653 | + | 0.613431i | ||||
\(585\) | 1258.28 | + | 615.954i | 2.15090 | + | 1.05291i | ||||
\(586\) | 471.045 | − | 159.746i | 0.803831 | − | 0.272604i | ||||
\(587\) | −64.4085 | + | 111.559i | −0.109725 | + | 0.190049i | −0.915659 | − | 0.401957i | \(-0.868330\pi\) |
0.805934 | + | 0.592005i | \(0.201664\pi\) | |||||||
\(588\) | −330.583 | + | 54.8786i | −0.562215 | + | 0.0933309i | ||||
\(589\) | −17.0958 | + | 9.87028i | −0.0290252 | + | 0.0167577i | ||||
\(590\) | −433.961 | − | 380.796i | −0.735528 | − | 0.645417i | ||||
\(591\) | −21.8247 | − | 638.187i | −0.0369284 | − | 1.07984i | ||||
\(592\) | 260.940 | − | 260.337i | 0.440777 | − | 0.439758i | ||||
\(593\) | − | 845.625i | − | 1.42601i | −0.701158 | − | 0.713006i | \(-0.747333\pi\) | ||
0.701158 | − | 0.713006i | \(-0.252667\pi\) | |||||||
\(594\) | 486.001 | − | 684.105i | 0.818183 | − | 1.15169i | ||||
\(595\) | 292.798i | 0.492097i | ||||||||
\(596\) | −50.9666 | − | 388.869i | −0.0855145 | − | 0.652465i | ||||
\(597\) | 21.1351 | + | 618.023i | 0.0354021 | + | 1.03521i | ||||
\(598\) | −104.731 | − | 91.9000i | −0.175135 | − | 0.153679i | ||||
\(599\) | −404.246 | + | 233.391i | −0.674868 | + | 0.389635i | −0.797919 | − | 0.602765i | \(-0.794066\pi\) |
0.123051 | + | 0.992400i | \(0.460732\pi\) | |||||||
\(600\) | 494.236 | − | 264.551i | 0.823727 | − | 0.440918i | ||||
\(601\) | −101.377 | + | 175.589i | −0.168680 | + | 0.292162i | −0.937956 | − | 0.346754i | \(-0.887284\pi\) |
0.769276 | + | 0.638916i | \(0.220617\pi\) | |||||||
\(602\) | 176.151 | + | 519.419i | 0.292610 | + | 0.862822i | ||||
\(603\) | 209.926 | − | 141.156i | 0.348136 | − | 0.234090i | ||||
\(604\) | −633.525 | + | 485.538i | −1.04888 | + | 0.803872i | ||||
\(605\) | −418.955 | + | 725.652i | −0.692488 | + | 1.19942i | ||||
\(606\) | 363.247 | − | 443.676i | 0.599418 | − | 0.732138i | ||||
\(607\) | −162.045 | − | 280.671i | −0.266961 | − | 0.462390i | 0.701115 | − | 0.713049i | \(-0.252686\pi\) |
−0.968076 | + | 0.250659i | \(0.919353\pi\) | |||||||
\(608\) | 80.4427 | + | 120.769i | 0.132307 | + | 0.198633i | ||||
\(609\) | −150.229 | + | 93.7225i | −0.246681 | + | 0.153896i | ||||
\(610\) | −545.336 | − | 108.638i | −0.893994 | − | 0.178095i | ||||
\(611\) | 830.185 | 1.35873 | ||||||||
\(612\) | 105.403 | − | 312.911i | 0.172227 | − | 0.511293i | ||||
\(613\) | 901.063i | 1.46992i | 0.678108 | + | 0.734962i | \(0.262800\pi\) | ||||
−0.678108 | + | 0.734962i | \(0.737200\pi\) | |||||||
\(614\) | 1093.80 | + | 217.900i | 1.78144 | + | 0.354886i | ||||
\(615\) | −687.378 | + | 1290.52i | −1.11769 | + | 2.09841i | ||||
\(616\) | 569.463 | + | 37.8212i | 0.924452 | + | 0.0613980i | ||||
\(617\) | 210.860 | − | 121.740i | 0.341751 | − | 0.197310i | −0.319295 | − | 0.947655i | \(-0.603446\pi\) |
0.661046 | + | 0.750345i | \(0.270113\pi\) | |||||||
\(618\) | −217.542 | − | 575.949i | −0.352009 | − | 0.931956i | ||||
\(619\) | −216.653 | − | 125.085i | −0.350005 | − | 0.202075i | 0.314683 | − | 0.949197i | \(-0.398102\pi\) |
−0.664687 | + | 0.747122i | \(0.731435\pi\) | |||||||
\(620\) | 96.1108 | − | 73.6600i | 0.155017 | − | 0.118806i | ||||
\(621\) | −49.2455 | − | 68.0902i | −0.0793003 | − | 0.109646i | ||||
\(622\) | −92.2841 | − | 272.119i | −0.148367 | − | 0.437490i | ||||
\(623\) | −42.3825 | − | 24.4695i | −0.0680297 | − | 0.0392769i | ||||
\(624\) | 243.667 | − | 1046.46i | 0.390493 | − | 1.67702i | ||||
\(625\) | 331.680 | + | 574.486i | 0.530688 | + | 0.919178i | ||||
\(626\) | −407.258 | − | 357.364i | −0.650571 | − | 0.570869i | ||||
\(627\) | 99.3831 | − | 186.587i | 0.158506 | − | 0.297587i | ||||
\(628\) | −887.581 | + | 116.330i | −1.41334 | + | 0.185238i | ||||
\(629\) | −211.296 | −0.335923 | ||||||||
\(630\) | −73.5049 | + | 569.903i | −0.116674 | + | 0.904608i | ||||
\(631\) | −839.956 | −1.33115 | −0.665575 | − | 0.746331i | \(-0.731814\pi\) | ||||
−0.665575 | + | 0.746331i | \(0.731814\pi\) | |||||||
\(632\) | 3.93671 | + | 8.00037i | 0.00622898 | + | 0.0126588i | ||||
\(633\) | −13.3736 | − | 21.4366i | −0.0211273 | − | 0.0338651i | ||||
\(634\) | −459.106 | − | 402.860i | −0.724142 | − | 0.635426i | ||||
\(635\) | 37.1387 | + | 64.3261i | 0.0584861 | + | 0.101301i | ||||
\(636\) | 102.610 | − | 273.359i | 0.161337 | − | 0.429810i | ||||
\(637\) | 541.352 | + | 312.550i | 0.849847 | + | 0.490659i | ||||
\(638\) | −378.426 | + | 128.336i | −0.593144 | + | 0.201154i | ||||
\(639\) | −36.7767 | − | 537.075i | −0.0575535 | − | 0.840494i | ||||
\(640\) | −585.532 | − | 670.407i | −0.914894 | − | 1.04751i | ||||
\(641\) | 807.530 | + | 466.228i | 1.25980 | + | 0.727344i | 0.973035 | − | 0.230658i | \(-0.0740878\pi\) |
0.286762 | + | 0.958002i | \(0.407421\pi\) | |||||||
\(642\) | −137.819 | − | 22.5884i | −0.214671 | − | 0.0351844i | ||||
\(643\) | 137.674 | − | 79.4863i | 0.214112 | − | 0.123618i | −0.389109 | − | 0.921192i | \(-0.627217\pi\) |
0.603221 | + | 0.797574i | \(0.293884\pi\) | |||||||
\(644\) | 21.9011 | − | 52.7874i | 0.0340079 | − | 0.0819681i | ||||
\(645\) | −1245.52 | + | 42.5941i | −1.93103 | + | 0.0660373i | ||||
\(646\) | 16.2515 | − | 81.5785i | 0.0251571 | − | 0.126283i | ||||
\(647\) | 169.902i | 0.262600i | 0.991343 | + | 0.131300i | \(0.0419152\pi\) | ||||
−0.991343 | + | 0.131300i | \(0.958085\pi\) | |||||||
\(648\) | 283.711 | − | 582.591i | 0.437825 | − | 0.899060i | ||||
\(649\) | 645.098 | 0.993988 | ||||||||
\(650\) | −1025.55 | − | 204.303i | −1.57777 | − | 0.314313i | ||||
\(651\) | 2.04911 | + | 59.9191i | 0.00314763 | + | 0.0920416i | ||||
\(652\) | 220.618 | − | 531.748i | 0.338371 | − | 0.815564i | ||||
\(653\) | 93.3433 | + | 161.675i | 0.142945 | + | 0.247589i | 0.928605 | − | 0.371071i | \(-0.121009\pi\) |
−0.785659 | + | 0.618660i | \(0.787676\pi\) | |||||||
\(654\) | −81.0574 | + | 494.558i | −0.123941 | + | 0.756204i | ||||
\(655\) | 833.387 | − | 1443.47i | 1.27235 | − | 2.20377i | ||||
\(656\) | 1082.86 | + | 291.495i | 1.65070 | + | 0.444352i | ||||
\(657\) | 483.862 | − | 33.1329i | 0.736472 | − | 0.0504306i | ||||
\(658\) | 109.361 | + | 322.475i | 0.166203 | + | 0.490084i | ||||
\(659\) | 47.0020 | − | 81.4099i | 0.0713232 | − | 0.123535i | −0.828158 | − | 0.560494i | \(-0.810611\pi\) |
0.899481 | + | 0.436959i | \(0.143944\pi\) | |||||||
\(660\) | −455.723 | + | 1214.07i | −0.690489 | + | 1.83950i | ||||
\(661\) | 307.644 | − | 177.619i | 0.465423 | − | 0.268712i | −0.248899 | − | 0.968529i | \(-0.580069\pi\) |
0.714322 | + | 0.699817i | \(0.246735\pi\) | |||||||
\(662\) | −566.200 | + | 645.250i | −0.855287 | + | 0.974698i | ||||
\(663\) | −522.567 | + | 326.011i | −0.788185 | + | 0.491722i | ||||
\(664\) | −281.683 | − | 572.449i | −0.424222 | − | 0.862123i | ||||
\(665\) | 144.761i | 0.217685i | ||||||||
\(666\) | −411.267 | − | 53.0443i | −0.617518 | − | 0.0796461i | ||||
\(667\) | 40.0146i | 0.0599919i | ||||||||
\(668\) | −1066.18 | + | 139.737i | −1.59608 | + | 0.209187i | ||||
\(669\) | 1150.03 | + | 612.545i | 1.71902 | + | 0.915613i | ||||
\(670\) | −257.838 | + | 293.836i | −0.384833 | + | 0.438561i | ||||
\(671\) | 538.067 | − | 310.653i | 0.801888 | − | 0.462970i | ||||
\(672\) | 438.584 | − | 43.2022i | 0.652654 | − | 0.0642891i | ||||
\(673\) | −371.462 | + | 643.391i | −0.551949 | + | 0.956004i | 0.446185 | + | 0.894941i | \(0.352782\pi\) |
−0.998134 | + | 0.0610631i | \(0.980551\pi\) | |||||||
\(674\) | 885.370 | − | 300.257i | 1.31361 | − | 0.445485i | ||||
\(675\) | −575.579 | − | 257.759i | −0.852709 | − | 0.381866i | ||||
\(676\) | −1054.25 | + | 807.985i | −1.55954 | + | 1.19524i | ||||
\(677\) | −363.885 | + | 630.267i | −0.537496 | + | 0.930971i | 0.461542 | + | 0.887119i | \(0.347296\pi\) |
−0.999038 | + | 0.0438525i | \(0.986037\pi\) | |||||||
\(678\) | 148.682 | − | 56.1585i | 0.219294 | − | 0.0828297i | ||||
\(679\) | 333.411 | + | 577.484i | 0.491032 | + | 0.850492i | ||||
\(680\) | −33.8138 | + | 509.125i | −0.0497262 | + | 0.748713i | ||||
\(681\) | −156.046 | − | 83.1159i | −0.229143 | − | 0.122050i | ||||
\(682\) | −26.4344 | + | 132.694i | −0.0387601 | + | 0.194566i | ||||
\(683\) | −839.650 | −1.22936 | −0.614678 | − | 0.788778i | \(-0.710714\pi\) | ||||
−0.614678 | + | 0.788778i | \(0.710714\pi\) | |||||||
\(684\) | 52.1118 | − | 154.705i | 0.0761868 | − | 0.226177i | ||||
\(685\) | − | 882.326i | − | 1.28807i | ||||||
\(686\) | −137.989 | + | 692.672i | −0.201151 | + | 1.00973i | ||||
\(687\) | −276.130 | − | 442.612i | −0.401936 | − | 0.644267i | ||||
\(688\) | 246.311 | + | 923.522i | 0.358011 | + | 1.34233i | ||||
\(689\) | −471.687 | + | 272.329i | −0.684597 | + | 0.395252i | ||||
\(690\) | 100.477 | + | 82.2630i | 0.145619 | + | 0.119222i | ||||
\(691\) | 624.218 | + | 360.393i | 0.903355 | + | 0.521552i | 0.878287 | − | 0.478133i | \(-0.158686\pi\) |
0.0250679 | + | 0.999686i | \(0.492020\pi\) | |||||||
\(692\) | 433.755 | − | 332.433i | 0.626813 | − | 0.480395i | ||||
\(693\) | −358.265 | − | 532.807i | −0.516976 | − | 0.768841i | ||||
\(694\) | −422.580 | + | 143.310i | −0.608905 | + | 0.206499i | ||||
\(695\) | 915.305 | + | 528.451i | 1.31699 | + | 0.760362i | ||||
\(696\) | −272.045 | + | 145.618i | −0.390869 | + | 0.209221i | ||||
\(697\) | −321.418 | − | 556.712i | −0.461144 | − | 0.798726i | ||||
\(698\) | 64.5870 | − | 73.6044i | 0.0925316 | − | 0.105450i | ||||
\(699\) | 373.738 | − | 12.7810i | 0.534675 | − | 0.0182848i | ||||
\(700\) | −55.7382 | − | 425.275i | −0.0796259 | − | 0.607536i | ||||
\(701\) | −482.229 | −0.687916 | −0.343958 | − | 0.938985i | \(-0.611768\pi\) | ||||
−0.343958 | + | 0.938985i | \(0.611768\pi\) | |||||||
\(702\) | −1098.97 | + | 503.363i | −1.56548 | + | 0.717042i | ||||
\(703\) | −104.466 | −0.148600 | ||||||||
\(704\) | 985.829 | + | 131.529i | 1.40033 | + | 0.186831i | ||||
\(705\) | −773.265 | + | 26.4440i | −1.09683 | + | 0.0375093i | ||||
\(706\) | −50.0059 | + | 56.9875i | −0.0708299 | + | 0.0807189i | ||||
\(707\) | −219.362 | − | 379.945i | −0.310271 | − | 0.537405i | ||||
\(708\) | 491.418 | − | 81.5781i | 0.694093 | − | 0.115223i | ||||
\(709\) | 406.899 | + | 234.923i | 0.573906 | + | 0.331345i | 0.758708 | − | 0.651431i | \(-0.225831\pi\) |
−0.184802 | + | 0.982776i | \(0.559164\pi\) | |||||||
\(710\) | 267.178 | + | 787.829i | 0.376307 | + | 1.10962i | ||||
\(711\) | 4.41033 | − | 9.00948i | 0.00620300 | − | 0.0126716i | ||||
\(712\) | −70.8699 | − | 47.4428i | −0.0995364 | − | 0.0666332i | ||||
\(713\) | 11.7336 | + | 6.77440i | 0.0164567 | + | 0.00950127i | ||||
\(714\) | −195.474 | − | 160.039i | −0.273772 | − | 0.224144i | ||||
\(715\) | 2094.90 | − | 1209.49i | 2.92993 | − | 1.69160i | ||||
\(716\) | 289.796 | + | 120.234i | 0.404743 | + | 0.167925i | ||||
\(717\) | 204.484 | + | 327.770i | 0.285194 | + | 0.457140i | ||||
\(718\) | 1055.71 | + | 210.312i | 1.47035 | + | 0.292913i | ||||
\(719\) | 933.168i | 1.29787i | 0.760844 | + | 0.648934i | \(0.224785\pi\) | ||||
−0.760844 | + | 0.648934i | \(0.775215\pi\) | |||||||
\(720\) | −193.628 | + | 982.474i | −0.268927 | + | 1.36455i | ||||
\(721\) | −471.053 | −0.653333 | ||||||||
\(722\) | −133.025 | + | 667.753i | −0.184246 | + | 0.924866i | ||||
\(723\) | −694.399 | − | 369.862i | −0.960441 | − | 0.511565i | ||||
\(724\) | 363.480 | − | 876.083i | 0.502044 | − | 1.21006i | ||||
\(725\) | 150.154 | + | 260.075i | 0.207109 | + | 0.358724i | ||||
\(726\) | −255.455 | − | 676.326i | −0.351867 | − | 0.931579i | ||||
\(727\) | −411.433 | + | 712.622i | −0.565932 | + | 0.980223i | 0.431030 | + | 0.902337i | \(0.358150\pi\) |
−0.996962 | + | 0.0778855i | \(0.975183\pi\) | |||||||
\(728\) | −683.140 | − | 457.318i | −0.938378 | − | 0.628184i | ||||
\(729\) | −713.720 | + | 148.477i | −0.979039 | + | 0.203672i | ||||
\(730\) | −709.771 | + | 240.706i | −0.972289 | + | 0.329734i | ||||
\(731\) | 273.953 | − | 474.501i | 0.374765 | − | 0.649112i | ||||
\(732\) | 370.599 | − | 304.690i | 0.506283 | − | 0.416243i | ||||
\(733\) | −747.781 | + | 431.731i | −1.02016 | + | 0.588992i | −0.914152 | − | 0.405372i | \(-0.867142\pi\) |
−0.106013 | + | 0.994365i | \(0.533809\pi\) | |||||||
\(734\) | 175.245 | + | 153.775i | 0.238753 | + | 0.209503i | ||||
\(735\) | −514.191 | − | 273.876i | −0.699579 | − | 0.372621i | ||||
\(736\) | 44.1783 | − | 89.2590i | 0.0600249 | − | 0.121276i | ||||
\(737\) | − | 436.797i | − | 0.592669i | ||||||
\(738\) | −485.850 | − | 1164.28i | −0.658333 | − | 1.57761i | ||||
\(739\) | − | 377.321i | − | 0.510583i | −0.966864 | − | 0.255292i | \(-0.917829\pi\) | ||
0.966864 | − | 0.255292i | \(-0.0821714\pi\) | |||||||
\(740\) | 635.372 | − | 83.2742i | 0.858611 | − | 0.112533i | ||||
\(741\) | −258.360 | + | 161.182i | −0.348664 | + | 0.217519i | ||||
\(742\) | −167.919 | − | 147.347i | −0.226306 | − | 0.198581i | ||||
\(743\) | 670.266 | − | 386.978i | 0.902108 | − | 0.520832i | 0.0242246 | − | 0.999707i | \(-0.492288\pi\) |
0.877884 | + | 0.478874i | \(0.158955\pi\) | |||||||
\(744\) | −3.35672 | + | 104.426i | −0.00451172 | + | 0.140357i | ||||
\(745\) | 340.914 | − | 590.481i | 0.457603 | − | 0.792592i | ||||
\(746\) | −87.0617 | − | 256.720i | −0.116705 | − | 0.344128i | ||||
\(747\) | −315.572 | + | 644.654i | −0.422452 | + | 0.862991i | ||||
\(748\) | −346.808 | − | 452.511i | −0.463647 | − | 0.604961i | ||||
\(749\) | −53.4272 | + | 92.5386i | −0.0713313 | + | 0.123549i | ||||
\(750\) | −67.6193 | − | 11.0827i | −0.0901590 | − | 0.0147770i | ||||
\(751\) | 598.825 | + | 1037.20i | 0.797370 | + | 1.38109i | 0.921323 | + | 0.388798i | \(0.127109\pi\) |
−0.123953 | + | 0.992288i | \(0.539557\pi\) | |||||||
\(752\) | 152.920 | + | 573.358i | 0.203351 | + | 0.762444i | ||||
\(753\) | −23.2912 | − | 681.071i | −0.0309312 | − | 0.904476i | ||||
\(754\) | 564.499 | + | 112.456i | 0.748673 | + | 0.149146i | ||||
\(755\) | −1387.64 | −1.83794 | ||||||||
\(756\) | −340.294 | − | 360.572i | −0.450124 | − | 0.476947i | ||||
\(757\) | 400.054i | 0.528473i | 0.964458 | + | 0.264236i | \(0.0851199\pi\) | ||||
−0.964458 | + | 0.264236i | \(0.914880\pi\) | |||||||
\(758\) | 573.767 | + | 114.302i | 0.756948 | + | 0.150794i | ||||
\(759\) | −145.011 | + | 4.95908i | −0.191056 | + | 0.00653371i | ||||
\(760\) | −16.7177 | + | 251.714i | −0.0219970 | + | 0.331202i | ||||
\(761\) | 539.091 | − | 311.245i | 0.708399 | − | 0.408994i | −0.102069 | − | 0.994777i | \(-0.532546\pi\) |
0.810468 | + | 0.585783i | \(0.199213\pi\) | |||||||
\(762\) | −63.2439 | − | 10.3656i | −0.0829972 | − | 0.0136031i | ||||
\(763\) | 332.071 | + | 191.721i | 0.435217 | + | 0.251273i | ||||
\(764\) | 620.157 | + | 809.174i | 0.811724 | + | 1.05913i | ||||
\(765\) | 476.353 | − | 320.304i | 0.622684 | − | 0.418698i | ||||
\(766\) | 170.714 | + | 503.386i | 0.222864 | + | 0.657162i | ||||
\(767\) | −804.731 | − | 464.612i | −1.04919 | − | 0.605752i | ||||
\(768\) | 767.610 | − | 24.4714i | 0.999492 | − | 0.0318637i | ||||
\(769\) | −85.2885 | − | 147.724i | −0.110908 | − | 0.192099i | 0.805228 | − | 0.592965i | \(-0.202043\pi\) |
−0.916137 | + | 0.400866i | \(0.868709\pi\) | |||||||
\(770\) | 745.777 | + | 654.411i | 0.968541 | + | 0.849884i | ||||
\(771\) | −27.5502 | − | 44.1605i | −0.0357331 | − | 0.0572769i | ||||
\(772\) | −153.033 | − | 1167.62i | −0.198229 | − | 1.51246i | ||||
\(773\) | 26.7288 | 0.0345780 | 0.0172890 | − | 0.999851i | \(-0.494496\pi\) | ||||
0.0172890 | + | 0.999851i | \(0.494496\pi\) | |||||||
\(774\) | 652.344 | − | 854.796i | 0.842821 | − | 1.10439i | ||||
\(775\) | 101.683 | 0.131204 | ||||||||
\(776\) | 513.053 | + | 1042.65i | 0.661150 | + | 1.34362i | ||||
\(777\) | −149.153 | + | 280.028i | −0.191960 | + | 0.360396i | ||||
\(778\) | −212.738 | − | 186.675i | −0.273442 | − | 0.239942i | ||||
\(779\) | −158.911 | − | 275.241i | −0.203993 | − | 0.353326i | ||||
\(780\) | 1442.89 | − | 1186.28i | 1.84986 | − | 1.52087i | ||||
\(781\) | −804.993 | − | 464.763i | −1.03072 | − | 0.595087i | ||||
\(782\) | −54.0666 | + | 18.3357i | −0.0691389 | + | 0.0234472i | ||||
\(783\) | 316.819 | + | 141.880i | 0.404622 | + | 0.181200i | ||||
\(784\) | −116.142 | + | 431.450i | −0.148141 | + | 0.550319i | ||||
\(785\) | −1347.75 | − | 778.125i | −1.71688 | − | 0.991242i | ||||
\(786\) | 508.153 | + | 1345.35i | 0.646504 | + | 1.71164i | ||||
\(787\) | 552.776 | − | 319.145i | 0.702384 | − | 0.405522i | −0.105851 | − | 0.994382i | \(-0.533757\pi\) |
0.808235 | + | 0.588860i | \(0.200423\pi\) | |||||||
\(788\) | −786.415 | − | 326.277i | −0.997989 | − | 0.414057i | ||||
\(789\) | 66.0208 | − | 123.951i | 0.0836766 | − | 0.157099i | ||||
\(790\) | −3.02854 | + | 15.2025i | −0.00383360 | + | 0.0192437i | ||||
\(791\) | − | 121.603i | − | 0.153733i | ||||||
\(792\) | −561.429 | − | 967.833i | −0.708875 | − | 1.22201i | ||||
\(793\) | −894.952 | −1.12856 | ||||||||
\(794\) | 728.869 | + | 145.200i | 0.917971 | + | 0.182872i | ||||
\(795\) | 430.672 | − | 268.682i | 0.541726 | − | 0.337964i | ||||
\(796\) | 761.567 | + | 315.968i | 0.956742 | + | 0.396945i | ||||
\(797\) | 391.164 | + | 677.516i | 0.490796 | + | 0.850083i | 0.999944 | − | 0.0105960i | \(-0.00337286\pi\) |
−0.509148 | + | 0.860679i | \(0.670040\pi\) | |||||||
\(798\) | −96.6432 | − | 79.1239i | −0.121107 | − | 0.0991528i | ||||
\(799\) | 170.081 | − | 294.588i | 0.212867 | − | 0.368696i | ||||
\(800\) | −47.8060 | − | 745.917i | −0.0597575 | − | 0.932397i | ||||
\(801\) | 6.55454 | + | 95.7204i | 0.00818295 | + | 0.119501i | ||||
\(802\) | −19.1803 | − | 56.5570i | −0.0239156 | − | 0.0705200i | ||||
\(803\) | 418.714 | − | 725.234i | 0.521437 | − | 0.903156i | ||||
\(804\) | −55.2367 | − | 332.740i | −0.0687024 | − | 0.413856i | ||||
\(805\) | 86.0445 | − | 49.6778i | 0.106888 | − | 0.0617116i | ||||
\(806\) | 128.544 | − | 146.491i | 0.159484 | − | 0.181751i | ||||
\(807\) | 48.6589 | + | 1422.86i | 0.0602961 | + | 1.76315i | ||||
\(808\) | −337.554 | − | 685.992i | −0.417764 | − | 0.849000i | ||||
\(809\) | 571.316i | 0.706200i | 0.935586 | + | 0.353100i | \(0.114873\pi\) | ||||
−0.935586 | + | 0.353100i | \(0.885127\pi\) | |||||||
\(810\) | 1007.59 | − | 503.857i | 1.24393 | − | 0.622045i | ||||
\(811\) | 554.157i | 0.683301i | 0.939827 | + | 0.341651i | \(0.110986\pi\) | ||||
−0.939827 | + | 0.341651i | \(0.889014\pi\) | |||||||
\(812\) | 30.6803 | + | 234.087i | 0.0377836 | + | 0.288284i | ||||
\(813\) | −1.05599 | − | 30.8788i | −0.00129888 | − | 0.0379814i | ||||
\(814\) | −472.251 | + | 538.185i | −0.580161 | + | 0.661161i | ||||
\(815\) | 866.759 | − | 500.424i | 1.06351 | − | 0.614017i | ||||
\(816\) | −321.413 | − | 300.854i | −0.393888 | − | 0.368693i | ||||
\(817\) | 135.444 | − | 234.596i | 0.165782 | − | 0.287143i | ||||
\(818\) | −684.471 | + | 232.126i | −0.836762 | + | 0.283772i | ||||
\(819\) | 63.1815 | + | 922.682i | 0.0771446 | + | 1.12660i | ||||
\(820\) | 1185.92 | + | 1547.37i | 1.44624 | + | 1.88704i | ||||
\(821\) | 425.017 | − | 736.150i | 0.517682 | − | 0.896651i | −0.482108 | − | 0.876112i | \(-0.660129\pi\) |
0.999789 | − | 0.0205386i | \(-0.00653811\pi\) | |||||||
\(822\) | 589.046 | + | 482.265i | 0.716601 | + | 0.586697i | ||||
\(823\) | −299.122 | − | 518.094i | −0.363453 | − | 0.629519i | 0.625074 | − | 0.780566i | \(-0.285069\pi\) |
−0.988527 | + | 0.151047i | \(0.951736\pi\) | |||||||
\(824\) | −819.080 | − | 54.3996i | −0.994029 | − | 0.0660190i | ||||
\(825\) | −923.892 | + | 576.385i | −1.11987 | + | 0.698648i | ||||
\(826\) | 74.4643 | − | 373.792i | 0.0901505 | − | 0.452533i | ||||
\(827\) | 667.626 | 0.807287 | 0.403643 | − | 0.914916i | \(-0.367744\pi\) | ||||
0.403643 | + | 0.914916i | \(0.367744\pi\) | |||||||
\(828\) | −109.838 | + | 22.1156i | −0.132655 | + | 0.0267097i | ||||
\(829\) | − | 1520.09i | − | 1.83365i | −0.399291 | − | 0.916824i | \(-0.630744\pi\) | ||
0.399291 | − | 0.916824i | \(-0.369256\pi\) | |||||||
\(830\) | 216.701 | − | 1087.78i | 0.261085 | − | 1.31058i | ||||
\(831\) | 543.065 | − | 1019.58i | 0.653508 | − | 1.22693i | ||||
\(832\) | −1135.05 | − | 874.089i | −1.36424 | − | 1.05059i | ||||
\(833\) | 221.814 | − | 128.065i | 0.266284 | − | 0.153739i | ||||
\(834\) | −853.088 | + | 322.220i | −1.02289 | + | 0.386355i | ||||
\(835\) | −1618.94 | − | 934.698i | −1.93886 | − | 1.11940i | ||||
\(836\) | −171.464 | − | 223.724i | −0.205100 | − | 0.267612i | ||||
\(837\) | 95.2408 | − | 68.8818i | 0.113788 | − | 0.0822960i | ||||
\(838\) | 371.941 | − | 126.137i | 0.443844 | − | 0.150522i | ||||
\(839\) | −719.550 | − | 415.432i | −0.857628 | − | 0.495152i | 0.00558927 | − | 0.999984i | \(-0.498221\pi\) |
−0.863217 | + | 0.504833i | \(0.831554\pi\) | |||||||
\(840\) | 650.868 | + | 404.202i | 0.774843 | + | 0.481193i | ||||
\(841\) | 337.850 | + | 585.173i | 0.401724 | + | 0.695806i | ||||
\(842\) | 125.976 | − | 143.565i | 0.149616 | − | 0.170504i | ||||
\(843\) | 14.9790 | − | 28.1223i | 0.0177686 | − | 0.0333598i | ||||
\(844\) | −33.4026 | + | 4.37786i | −0.0395765 | + | 0.00518704i | ||||
\(845\) | −2309.18 | −2.73275 | ||||||||
\(846\) | 405.000 | − | 530.690i | 0.478723 | − | 0.627293i | ||||
\(847\) | −553.149 | −0.653069 | ||||||||
\(848\) | −274.965 | − | 275.603i | −0.324251 | − | 0.325003i | ||||
\(849\) | 599.037 | + | 960.201i | 0.705579 | + | 1.13098i | ||||
\(850\) | −282.601 | + | 322.057i | −0.332472 | + | 0.378891i | ||||
\(851\) | 35.8497 | + | 62.0934i | 0.0421265 | + | 0.0729653i | ||||
\(852\) | −671.995 | − | 252.245i | −0.788726 | − | 0.296063i | ||||
\(853\) | 1145.57 | + | 661.395i | 1.34299 | + | 0.775376i | 0.987245 | − | 0.159207i | \(-0.0508939\pi\) |
0.355745 | + | 0.934583i | \(0.384227\pi\) | |||||||
\(854\) | −117.893 | − | 347.633i | −0.138048 | − | 0.407064i | ||||
\(855\) | 235.511 | − | 158.360i | 0.275452 | − | 0.185217i | ||||
\(856\) | −103.587 | + | 154.738i | −0.121013 | + | 0.180769i | ||||
\(857\) | 439.392 | + | 253.683i | 0.512709 | + | 0.296013i | 0.733947 | − | 0.679207i | \(-0.237676\pi\) |
−0.221237 | + | 0.975220i | \(0.571010\pi\) | |||||||
\(858\) | −337.576 | + | 2059.66i | −0.393445 | + | 2.40053i | ||||
\(859\) | −169.177 | + | 97.6744i | −0.196947 | + | 0.113707i | −0.595230 | − | 0.803555i | \(-0.702939\pi\) |
0.398284 | + | 0.917262i | \(0.369606\pi\) | |||||||
\(860\) | −636.778 | + | 1534.81i | −0.740440 | + | 1.78466i | ||||
\(861\) | −964.691 | + | 32.9904i | −1.12043 | + | 0.0383164i | ||||
\(862\) | −465.378 | − | 92.7094i | −0.539881 | − | 0.107551i | ||||
\(863\) | − | 772.315i | − | 0.894919i | −0.894304 | − | 0.447460i | \(-0.852329\pi\) | ||
0.894304 | − | 0.447460i | \(-0.147671\pi\) | |||||||
\(864\) | −550.072 | − | 666.271i | −0.636657 | − | 0.771147i | ||||
\(865\) | 950.075 | 1.09835 | ||||||||
\(866\) | 70.6026 | − | 354.407i | 0.0815272 | − | 0.409246i | ||||
\(867\) | −21.0068 | − | 614.273i | −0.0242293 | − | 0.708503i | ||||
\(868\) | 73.8361 | + | 30.6340i | 0.0850646 | + | 0.0352926i | ||||
\(869\) | −8.66017 | − | 14.9999i | −0.00996567 | − | 0.0172611i | ||||
\(870\) | −529.377 | − | 86.7643i | −0.608479 | − | 0.0997290i | ||||
\(871\) | −314.590 | + | 544.885i | −0.361182 | + | 0.625586i | ||||
\(872\) | 555.272 | + | 371.719i | 0.636780 | + | 0.426283i | ||||
\(873\) | 574.777 | − | 1174.16i | 0.658393 | − | 1.34497i | ||||
\(874\) | −26.7308 | + | 9.06526i | −0.0305844 | + | 0.0103721i | ||||
\(875\) | −26.2134 | + | 45.4030i | −0.0299582 | + | 0.0518891i | ||||
\(876\) | 227.253 | − | 605.413i | 0.259421 | − | 0.691111i | ||||
\(877\) | 879.427 | − | 507.737i | 1.00277 | − | 0.578948i | 0.0937011 | − | 0.995600i | \(-0.470130\pi\) |
0.909066 | + | 0.416653i | \(0.136797\pi\) | |||||||
\(878\) | 279.678 | + | 245.415i | 0.318540 | + | 0.279516i | ||||
\(879\) | −633.008 | + | 394.912i | −0.720146 | + | 0.449274i | ||||
\(880\) | 1221.20 | + | 1224.03i | 1.38773 | + | 1.39095i | ||||
\(881\) | 743.678i | 0.844130i | 0.906566 | + | 0.422065i | \(0.138695\pi\) | ||||
−0.906566 | + | 0.422065i | \(0.861305\pi\) | |||||||
\(882\) | 463.890 | − | 193.580i | 0.525952 | − | 0.219479i | ||||
\(883\) | 483.566i | 0.547640i | 0.961781 | + | 0.273820i | \(0.0882872\pi\) | ||||
−0.961781 | + | 0.273820i | \(0.911713\pi\) | |||||||
\(884\) | 106.721 | + | 814.265i | 0.120725 | + | 0.921114i | ||||
\(885\) | 764.355 | + | 407.123i | 0.863678 | + | 0.460026i | ||||
\(886\) | 423.949 | + | 372.011i | 0.478498 | + | 0.419877i | ||||
\(887\) | −1096.70 | + | 633.179i | −1.23641 | + | 0.713844i | −0.968359 | − | 0.249560i | \(-0.919714\pi\) |
−0.268054 | + | 0.963404i | \(0.586381\pi\) | |||||||
\(888\) | −291.690 | + | 469.695i | −0.328480 | + | 0.528935i | ||||
\(889\) | −24.5172 | + | 42.4651i | −0.0275784 | + | 0.0477672i | ||||
\(890\) | −47.6178 | − | 140.411i | −0.0535032 | − | 0.157765i | ||||
\(891\) | −474.903 | + | 1165.72i | −0.533000 | + | 1.30833i | ||||
\(892\) | 1378.92 | − | 1056.81i | 1.54587 | − | 1.18477i | ||||
\(893\) | 84.0887 | − | 145.646i | 0.0941643 | − | 0.163097i | ||||
\(894\) | 207.870 | + | 550.344i | 0.232517 | + | 0.615597i | ||||
\(895\) | 272.725 | + | 472.373i | 0.304720 | + | 0.527791i | ||||
\(896\) | 190.007 | − | 556.040i | 0.212062 | − | 0.620581i | ||||
\(897\) | 184.467 | + | 98.2536i | 0.205649 | + | 0.109536i | ||||
\(898\) | −311.327 | − | 62.0206i | −0.346690 | − | 0.0690652i | ||||
\(899\) | −55.9702 | −0.0622583 | ||||||||
\(900\) | −630.907 | + | 555.908i | −0.701007 | + | 0.617675i | ||||
\(901\) | 223.168i | 0.247690i | ||||||||
\(902\) | −2136.36 | − | 425.592i | −2.36847 | − | 0.471831i | ||||
\(903\) | −435.468 | − | 698.015i | −0.482246 | − | 0.772995i | ||||
\(904\) | 14.0433 | − | 211.446i | 0.0155346 | − | 0.233901i | ||||
\(905\) | 1428.03 | − | 824.474i | 1.57794 | − | 0.911021i | ||||
\(906\) | 758.463 | − | 926.398i | 0.837155 | − | 1.02251i | ||||
\(907\) | −1283.82 | − | 741.212i | −1.41545 | − | 0.817213i | −0.419560 | − | 0.907728i | \(-0.637816\pi\) |
−0.995895 | + | 0.0905144i | \(0.971149\pi\) | |||||||
\(908\) | −187.104 | + | 143.398i | −0.206062 | + | 0.157928i | ||||
\(909\) | −378.164 | + | 772.518i | −0.416022 | + | 0.849855i | ||||
\(910\) | −459.005 | − | 1353.47i | −0.504401 | − | 1.48733i | ||||
\(911\) | −982.545 | − | 567.273i | −1.07853 | − | 0.622692i | −0.148034 | − | 0.988982i | \(-0.547294\pi\) |
−0.930501 | + | 0.366290i | \(0.880628\pi\) | |||||||
\(912\) | −158.908 | − | 148.744i | −0.174241 | − | 0.163096i | ||||
\(913\) | 619.660 | + | 1073.28i | 0.678708 | + | 1.17556i | ||||
\(914\) | −640.947 | − | 562.423i | −0.701255 | − | 0.615343i | ||||
\(915\) | 833.591 | − | 28.5071i | 0.911028 | − | 0.0311553i | ||||
\(916\) | −689.679 | + | 90.3918i | −0.752925 | + | 0.0986810i | ||||
\(917\) | 1100.33 | 1.19992 | ||||||||
\(918\) | −46.5298 | + | 493.089i | −0.0506860 | + | 0.537134i | ||||
\(919\) | −51.6557 | −0.0562086 | −0.0281043 | − | 0.999605i | \(-0.508947\pi\) | ||||
−0.0281043 | + | 0.999605i | \(0.508947\pi\) | |||||||
\(920\) | 155.354 | − | 76.4442i | 0.168863 | − | 0.0830916i | ||||
\(921\) | −1671.97 | + | 57.1778i | −1.81538 | + | 0.0620823i | ||||
\(922\) | −610.423 | − | 535.639i | −0.662064 | − | 0.580953i | ||||
\(923\) | 669.462 | + | 1159.54i | 0.725311 | + | 1.25628i | ||||
\(924\) | −844.518 | + | 140.195i | −0.913981 | + | 0.151726i | ||||
\(925\) | 466.010 | + | 269.051i | 0.503794 | + | 0.290866i | ||||
\(926\) | 1354.77 | − | 459.446i | 1.46304 | − | 0.496162i | ||||
\(927\) | 515.306 | + | 766.357i | 0.555885 | + | 0.826706i | ||||
\(928\) | 26.3141 | + | 410.579i | 0.0283557 | + | 0.442435i | ||||
\(929\) | −781.777 | − | 451.359i | −0.841525 | − | 0.485855i | 0.0162571 | − | 0.999868i | \(-0.494825\pi\) |
−0.857782 | + | 0.514013i | \(0.828158\pi\) | |||||||
\(930\) | −115.065 | + | 140.542i | −0.123726 | + | 0.151120i | ||||
\(931\) | 109.666 | − | 63.3158i | 0.117794 | − | 0.0680084i | ||||
\(932\) | 191.076 | − | 460.543i | 0.205017 | − | 0.494145i | ||||
\(933\) | 228.138 | + | 365.684i | 0.244521 | + | 0.391944i | ||||
\(934\) | −163.731 | + | 821.887i | −0.175301 | + | 0.879965i | ||||
\(935\) | − | 991.158i | − | 1.06006i | ||||||
\(936\) | 3.30560 | + | 1611.68i | 0.00353163 | + | 1.72188i | ||||
\(937\) | 1400.55 | 1.49471 | 0.747356 | − | 0.664424i | \(-0.231323\pi\) | ||||
0.747356 | + | 0.664424i | \(0.231323\pi\) | |||||||
\(938\) | −253.095 | − | 50.4199i | −0.269824 | − | 0.0537526i | ||||
\(939\) | 717.321 | + | 382.071i | 0.763920 | + | 0.406891i | ||||
\(940\) | −395.336 | + | 952.866i | −0.420571 | + | 1.01369i | ||||
\(941\) | −607.305 | − | 1051.88i | −0.645383 | − | 1.11784i | −0.984213 | − | 0.176989i | \(-0.943364\pi\) |
0.338830 | − | 0.940848i | \(-0.389969\pi\) | |||||||
\(942\) | 1256.14 | − | 474.457i | 1.33348 | − | 0.503669i | ||||
\(943\) | −109.067 | + | 188.910i | −0.115660 | + | 0.200329i | ||||
\(944\) | 172.648 | − | 641.360i | 0.182890 | − | 0.679407i | ||||
\(945\) | −88.2398 | − | 857.407i | −0.0933755 | − | 0.907309i | ||||
\(946\) | −596.295 | − | 1758.30i | −0.630333 | − | 1.85867i | ||||
\(947\) | −9.83190 | + | 17.0293i | −0.0103821 | + | 0.0179824i | −0.871170 | − | 0.490982i | \(-0.836638\pi\) |
0.860788 | + | 0.508964i | \(0.169971\pi\) | |||||||
\(948\) | −8.49394 | − | 10.3313i | −0.00895985 | − | 0.0108980i | ||||
\(949\) | −1044.65 | + | 603.132i | −1.10079 | + | 0.635544i | ||||
\(950\) | −139.720 | + | 159.227i | −0.147073 | + | 0.167607i | ||||
\(951\) | 808.643 | + | 430.713i | 0.850308 | + | 0.452905i | ||||
\(952\) | −302.233 | + | 148.719i | −0.317471 | + | 0.156217i | ||||
\(953\) | 1678.28i | 1.76105i | 0.473997 | + | 0.880526i | \(0.342811\pi\) | ||||
−0.473997 | + | 0.880526i | \(0.657189\pi\) | |||||||
\(954\) | −56.0249 | + | 434.376i | −0.0587264 | + | 0.455321i | ||||
\(955\) | 1772.38i | 1.85589i | ||||||||
\(956\) | 510.732 | − | 66.9384i | 0.534238 | − | 0.0700192i | ||||
\(957\) | 508.543 | − | 317.263i | 0.531393 | − | 0.331518i | ||||
\(958\) | 41.3519 | − | 47.1253i | 0.0431648 | − | 0.0491913i | ||||
\(959\) | 504.434 | − | 291.235i | 0.526000 | − | 0.303686i | ||||
\(960\) | 1085.07 | + | 778.003i | 1.13028 | + | 0.810420i | ||||
\(961\) | 471.024 | − | 815.838i | 0.490140 | − | 0.848947i | ||||
\(962\) | 976.723 | − | 331.238i | 1.01530 | − | 0.344322i | ||||
\(963\) | 208.997 | − | 14.3113i | 0.217027 | − | 0.0148611i | ||||
\(964\) | −832.605 | + | 638.115i | −0.863698 | + | 0.661945i | ||||
\(965\) | 1023.63 | − | 1772.98i | 1.06076 | − | 1.83729i | ||||
\(966\) | −13.8653 | + | 84.5969i | −0.0143533 | + | 0.0875744i | ||||
\(967\) | 122.729 | + | 212.572i | 0.126917 | + | 0.219827i | 0.922481 | − | 0.386043i | \(-0.126158\pi\) |
−0.795564 | + | 0.605870i | \(0.792825\pi\) | |||||||
\(968\) | −961.831 | − | 63.8805i | −0.993627 | − | 0.0659923i | ||||
\(969\) | 4.26446 | + | 124.699i | 0.00440088 | + | 0.128689i | ||||
\(970\) | −394.695 | + | 1981.27i | −0.406902 | + | 2.04255i | ||||
\(971\) | −91.7515 | −0.0944918 | −0.0472459 | − | 0.998883i | \(-0.515044\pi\) | ||||
−0.0472459 | + | 0.998883i | \(0.515044\pi\) | |||||||
\(972\) | −214.353 | + | 948.070i | −0.220527 | + | 0.975381i | ||||
\(973\) | 697.718i | 0.717079i | ||||||||
\(974\) | −61.3370 | + | 307.896i | −0.0629743 | + | 0.316115i | ||||
\(975\) | 1567.64 | − | 53.6099i | 1.60783 | − | 0.0549845i | ||||
\(976\) | −164.850 | − | 618.088i | −0.168903 | − | 0.633287i | ||||
\(977\) | −1148.46 | + | 663.066i | −1.17550 | + | 0.678675i | −0.954969 | − | 0.296705i | \(-0.904112\pi\) |
−0.220531 | + | 0.975380i | \(0.570779\pi\) | |||||||
\(978\) | −139.671 | + | 852.177i | −0.142813 | + | 0.871347i | ||||
\(979\) | 143.470 | + | 82.8325i | 0.146548 | + | 0.0846093i | ||||
\(980\) | −616.530 | + | 472.514i | −0.629113 | + | 0.482157i | ||||
\(981\) | −51.3554 | − | 749.978i | −0.0523501 | − | 0.764504i | ||||
\(982\) | 57.3271 | − | 19.4414i | 0.0583779 | − | 0.0197978i | ||||
\(983\) | 1197.01 | + | 691.093i | 1.21771 | + | 0.703045i | 0.964427 | − | 0.264348i | \(-0.0851567\pi\) |
0.253282 | + | 0.967393i | \(0.418490\pi\) | |||||||
\(984\) | −1681.24 | − | 54.0429i | −1.70858 | − | 0.0549216i | ||||
\(985\) | −740.089 | − | 1281.87i | −0.751359 | − | 1.30139i | ||||
\(986\) | 155.554 | − | 177.272i | 0.157762 | − | 0.179789i | ||||
\(987\) | −270.355 | − | 433.354i | −0.273916 | − | 0.439062i | ||||
\(988\) | 52.7632 | + | 402.577i | 0.0534040 | + | 0.407466i | ||||
\(989\) | −185.922 | −0.187990 | ||||||||
\(990\) | 248.823 | − | 1929.19i | 0.251337 | − | 1.94868i | ||||
\(991\) | −1113.50 | −1.12362 | −0.561808 | − | 0.827267i | \(-0.689894\pi\) | ||||
−0.561808 | + | 0.827267i | \(0.689894\pi\) | |||||||
\(992\) | 124.850 | + | 61.7942i | 0.125857 | + | 0.0622925i | ||||
\(993\) | 605.345 | − | 1136.51i | 0.609612 | − | 1.14452i | ||||
\(994\) | −362.220 | + | 412.792i | −0.364407 | + | 0.415284i | ||||
\(995\) | 716.704 | + | 1241.37i | 0.720306 | + | 1.24761i | ||||
\(996\) | 607.766 | + | 739.236i | 0.610206 | + | 0.742205i | ||||
\(997\) | 603.984 | + | 348.711i | 0.605802 | + | 0.349760i | 0.771321 | − | 0.636447i | \(-0.219597\pi\) |
−0.165519 | + | 0.986207i | \(0.552930\pi\) | |||||||
\(998\) | −68.3524 | − | 201.551i | −0.0684894 | − | 0.201955i | ||||
\(999\) | 618.742 | − | 63.6777i | 0.619361 | − | 0.0637414i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 72.3.j.a.29.12 | yes | 44 | |
3.2 | odd | 2 | 216.3.j.a.197.11 | 44 | |||
4.3 | odd | 2 | 288.3.n.a.209.12 | 44 | |||
8.3 | odd | 2 | 288.3.n.a.209.11 | 44 | |||
8.5 | even | 2 | inner | 72.3.j.a.29.18 | yes | 44 | |
9.2 | odd | 6 | 648.3.h.a.485.6 | 44 | |||
9.4 | even | 3 | 216.3.j.a.125.5 | 44 | |||
9.5 | odd | 6 | inner | 72.3.j.a.5.18 | yes | 44 | |
9.7 | even | 3 | 648.3.h.a.485.39 | 44 | |||
12.11 | even | 2 | 864.3.n.a.305.19 | 44 | |||
24.5 | odd | 2 | 216.3.j.a.197.5 | 44 | |||
24.11 | even | 2 | 864.3.n.a.305.4 | 44 | |||
36.7 | odd | 6 | 2592.3.h.a.1457.38 | 44 | |||
36.11 | even | 6 | 2592.3.h.a.1457.7 | 44 | |||
36.23 | even | 6 | 288.3.n.a.113.11 | 44 | |||
36.31 | odd | 6 | 864.3.n.a.17.4 | 44 | |||
72.5 | odd | 6 | inner | 72.3.j.a.5.12 | ✓ | 44 | |
72.11 | even | 6 | 2592.3.h.a.1457.37 | 44 | |||
72.13 | even | 6 | 216.3.j.a.125.11 | 44 | |||
72.29 | odd | 6 | 648.3.h.a.485.40 | 44 | |||
72.43 | odd | 6 | 2592.3.h.a.1457.8 | 44 | |||
72.59 | even | 6 | 288.3.n.a.113.12 | 44 | |||
72.61 | even | 6 | 648.3.h.a.485.5 | 44 | |||
72.67 | odd | 6 | 864.3.n.a.17.19 | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.3.j.a.5.12 | ✓ | 44 | 72.5 | odd | 6 | inner | |
72.3.j.a.5.18 | yes | 44 | 9.5 | odd | 6 | inner | |
72.3.j.a.29.12 | yes | 44 | 1.1 | even | 1 | trivial | |
72.3.j.a.29.18 | yes | 44 | 8.5 | even | 2 | inner | |
216.3.j.a.125.5 | 44 | 9.4 | even | 3 | |||
216.3.j.a.125.11 | 44 | 72.13 | even | 6 | |||
216.3.j.a.197.5 | 44 | 24.5 | odd | 2 | |||
216.3.j.a.197.11 | 44 | 3.2 | odd | 2 | |||
288.3.n.a.113.11 | 44 | 36.23 | even | 6 | |||
288.3.n.a.113.12 | 44 | 72.59 | even | 6 | |||
288.3.n.a.209.11 | 44 | 8.3 | odd | 2 | |||
288.3.n.a.209.12 | 44 | 4.3 | odd | 2 | |||
648.3.h.a.485.5 | 44 | 72.61 | even | 6 | |||
648.3.h.a.485.6 | 44 | 9.2 | odd | 6 | |||
648.3.h.a.485.39 | 44 | 9.7 | even | 3 | |||
648.3.h.a.485.40 | 44 | 72.29 | odd | 6 | |||
864.3.n.a.17.4 | 44 | 36.31 | odd | 6 | |||
864.3.n.a.17.19 | 44 | 72.67 | odd | 6 | |||
864.3.n.a.305.4 | 44 | 24.11 | even | 2 | |||
864.3.n.a.305.19 | 44 | 12.11 | even | 2 | |||
2592.3.h.a.1457.7 | 44 | 36.11 | even | 6 | |||
2592.3.h.a.1457.8 | 44 | 72.43 | odd | 6 | |||
2592.3.h.a.1457.37 | 44 | 72.11 | even | 6 | |||
2592.3.h.a.1457.38 | 44 | 36.7 | odd | 6 |